Van de Beek has continually been linked with a move to LaLiga giants Madrid, who previously contacted Ajax over a possible deal at the start of the season.
The 22-year-old Netherlands international has also reportedly emerged as a target for Premier League side United.
Ten Hag was asked about the future of Van de Beek on the eve of Thursday's Europa League clash against Getafe in Madrid.
"I do not think so [that he will leave]," Ajax boss Ten Hag told reporters in his news conference.
"He has had a great evolution and has attracted international attention. There are players who are in the spotlight and then things change."
Ten Hag added: "Donny van de Beek has had a stormy progression the last months. A lot of big clubs noticed this.
"That's has been the last one and a half years like this with our players. We have not to think about this, but we have been doing these the last one and a half years already."
In 2019-20, Van de Beek has scored 10 goals in all competitions for Dutch champions Ajax – eight of those in the Eredivisie.
The winger was absent for Erik ten Hag's side at Old Trafford, with the manager simply stating he was injured.
But ahead of Friday's FA Cup clash with Everton, the club revealed Antony had been training on Wednesday, putting concerns to rest over any lingering problems.
Antony netted in his first three Premier League games for the Red Devils following his arrival at the start of the campaign, although he has not scored again since then.
The Brazil international's most recent goal came against Everton, and he will hope to be involved against the Toffees this week.
However, it appears former Everton loanee Donny van de Beek is set for a spell on the sidelines.
In just his second league start of the season, the midfielder was on the receiving end of a brutal challenge from Bournemouth defender Marcos Senesi.
Ten Hag was unable to disclose the extent of the issue in his post-match comments, acknowledging: "We need to wait 24 hours. But it is not looking very good."
City landed Jack Grealish from Aston Villa in a big-money move but failed in their efforts to sign Tottenham star Harry Kane following Sergio Aguero's exit.
But the Premier League champions could be more active in the January transfer window.
TOP STORY – CITY PLAN FOR DE JONG SWOOP
Manchester City are plotting a move for Barcelona star midfielder Frenkie de Jong, according to Calciomercato.
De Jong, who also has interest from Bundesliga champions Bayern Munich, signed a five-year deal with Barcelona effective from July 2019, tying him down to 2024.
The 24-year-old Netherlands international has made 11 appearances in all competitions this season and is yet to score.
ROUND-UP
- Fabrizio Romano claims Manchester United have made no official proposal for former Chelsea and Inter boss Antonio Conte yet amid doubts over the future of Red Devils manager Ole Gunnar Solskjaer following Sunday's 5-0 rout at the hands of Liverpool. Zinedine Zidane and Ajax's Erik ten Hag are also possible options.
- Manchester United's wantaway Dutch midfielder Donny van de Beek is preparing to make a January move with Voetbal International claiming he has swapped agents. Everton, Newcastle United and Juventus are all interested in Van de Beek, per Metro.
- Paris Saint-Germain will switch their attention to Bayern midfielder Corentin Tolisso if they cannot secure a move for Manchester United's Paul Pogba, reports Calciomercato. Pogba has also been linked with Juve and Real Madrid.
- Newcastle and Juve are contending to sign Barca forward Ousmane Dembele, according to Sport. Dembele is set to exit Barca at the end of this season and his agent has reportedly been in touch with both clubs about a move, while Liverpool and United are also possible destinations.
However, prising Sancho away from Borussia Dortmund is proving difficult.
United, as a result, could be about to walk away.
TOP STORY – UNITED SET TO GIVE UP ON SANCHO
Manchester United are ready to abandon their pursuit of Borussia Dortmund star Jadon Sancho, according to the Mirror.
United have been unable to agree a fee with Dortmund for England sensation Sancho, who is valued at €120million (£108m).
Now, United are willing to give up on Sancho until next year, which could see the likes of Real Madrid, Barcelona and Liverpool enter the fray.
ROUND-UP
- Marca claims Barcelonahave re-opened talks with Inter regarding star forward Lautaro Martinez. As Barca look to move on veteran Luis Suarez, the embattled LaLiga giants remain keen on Inter's Martinez, despite links to Lyon star Memphis Depay.
- Arsenal have joined Premier League rivals Liverpool in the race to sign Bayern Munich midfielder Thiago Alcantara, reports the Daily Mail. Thiago is eyeing a switch to Liverpool, though the English champions are believed to be unwilling to meet Bayern's demands.
- According to the Mirror, Barca have been quoted £143m (€158.6m) to sign Richarlison from Everton.
- Tuttosport claims former Juventus head coach Massimiliano Allegriis preparing to replace Antonio Conte at Inter. Conte is reportedly set to leave San Siro following one season at the helm.
- Arsenal have agreed a deal to sign Lille defender Gabriel Magalhaes, says Fabrizio Romano. Also linked to Napoli, Everton and United, Gabriel will fly to London on Monday to sign a contract until June 2025.
- Romano also claims Chelseawill announce the signing of Leicester City full-back Ben Chilwell in the coming days as the Blues also target Paris Saint-Germain veteran Thiago Silva and continue negotiations with Bayer Leverkusen for Kai Havertz.
- Leicester are considering Ajax left-back Nicolas Tagliafico as a replacement for Chelsea-bound Chilwell, says the Daily Mail.
- Roma star Edin Dzeko only wants to leave the capital club for Juve, reports Tuttosport. Cristiano Ronaldo reportedly sees Dzeko as the perfect strike partner under Andrea Pirlo.
- As new boss Ronald Koeman oversees a Barca rebuild, Sport reports Ajax would demand €55m for Donny van de Beek. The Netherlands international has also been linked to Madrid and United.
- Monaco coach Niko Kovac wants the Ligue 1 side to sign former Dortmund midfielder Mario Gotze, according to Le10 Sport. Gotze is a free agent after leaving Dortmund.
Haaland has scored 78 goals in his two years with Dortmund – only Robert Lewandowski (107) has more in Europe's top five leagues – and would be a major coup for Madrid.
But while the Spanish giants remain confident of bringing in the in-demand striker from Dortmund, it could have a negative knock-on effect.
TOP STORY - HAALAND IN, BENZEMA OUT?
Karim Benzema is a much-loved figure at the Santiago Bernabeu and is enjoying another impressive campaign, but El Nacional claims that Madrid risk losing the Frenchman.
The report suggests that Benzema does not like the fact that president Florentino Perez is so fixated on bringing in a new player to lead Los Blancos' attack from next season.
While the 34-year is not currently seeking an exit, that could change should Madrid reach a pre-contract agreement with Haaland in the coming weeks, as has been suggested.
Benzema would not feel the need to move on should Kylian Mbappe join, though, as he considers that case to be different given the PSG striker is set to become a free agent.
ROUND-UP
– Barcelona accept that it is increasingly likely Ousmane Dembele will leave Camp Nou as a free agent at the end of the season. According to Sport, Manchester United and Juventus have held talks with the player's camp, while Chelsea and Bayern Munich have an outside shot of signing the forward.
– Arsenal have made their first move to sign Dusan Vlahovic from Fiorentina, with Corriere Della Sera reporting that the Gunners have tabled an offer of £50million (€60m) plus Lucas Torreira, who is currently on loan with the Serie A side.
– Chelsea are interested in signing Layvin Kurzawa on loan as they look to bolster their full-back ranks. However, Fabrizio Romano claims that the Blues have not yet officially opened talks with PSG.
– Calciomercato reports that Man Utd forward Anthony Martial has emerged as a January target for Juventus. The France international has struggled for games this season and has openly admitted he wants to find a new club this month.
– Everton are on the lookout for a new manager after parting company with Rafael Benitez on Sunday and hope to make a swift appointment. According to ESPN, former boss Roberto Martinez – now in charge of the Belgium national team – is the leading candidate to take over.
– Newcastle United have already brought in Kieran Trippier and Chris Wood this window, but The Telegraph reports that they have been knocked back in their bid to bring in Donny van de Beek on loan. The Man Utd midfielder is said to have been put off by the Magpies' position in the Premier League.
The former Borussia Dortmund star is not short of suitors amid uncertainty over his future in London.
And Real Madrid are reportedly making their move.
T OP STORY – MADRID TELL ARSENAL TO DECIDE OVER AUBA
Real Madridhave set Arsenal a deadline as they look to sign star forward Pierre-Emerick Aubameyang, according to The Mirror.
Aubameyang is out of contract in June 2021 and the Gabon international has been tipped to leave Arsenal.
Madrid reportedly want Arsenal to make a decision on Aubameyang's future by June 15 as the likes of Inter and Paris Saint-Germain also circle.
ROUND-UP
- Sport reports Barcelona are on the brink of signing Juventus midfielder Miralem Pjanic. The LaLiga giants are close to agreeing a four-year deal with the Bosnia-Herzegovina international.
- Pjanic had been mentioned in a possible swap deal with Barca's Arthur, who has previously dismissed an exit. However, Tuttosport claims Juventus have not given up on signing Arthur.
- Former RB Leipzig boss Ralf Rangnick is set to become head coach of Milan, reports Calciomercato.
- The Express says Manchester United have identified Ajax midfielder Donny van de Beek as a top transfer target. Van de Beek has also been linked to Madrid and Juve.
- Madrid want Casemiro to continue at the Santiago Bernabeu, but Mundo Deportivo reports the futures of captain Sergio Ramos, Luka Modric, Lucas Vazquezand James Rodriguezare up in the air.
- According to The Sun, Borussia Dortmund want to sign Chelsea teenager Charlie Webster.
- Inter have set their sights on Freiburg centre-back Robin Koch, reports Tuttomercatoweb. Koch has also been linked to Napoli and Benfica.
- United are keeping tabs on Swansea City defender Joe Rodon, says The Mirror. The Red Devils have already raided Swansea previously, signing Welshman Daniel James ahead of the 2019-20 season.
The Portuguese only took over in June but his side are eighth in the Premier League with five losses already.
Spurs were humbled 3-0 at home by under-pressure Manchester United on Saturday.
Supporters made their feelings known at full-time as boos rung out around Tottenham Hotspur Stadium.
TOP STORY – SPURS READY TO REPLACE NUNO
Tuttomercato claims that Tottenham are working on a deal to have ex-Inter boss Antonio Conte replace Nuno Espirito Santo as manager.
Football Insider also reports that Spurs will sack Nuno this week, with Ryan Mason to be installed as their interim boss again.
The Standard claims that Porto head coach Sergio Conceicao is also under consideration for the job.
ROUND-UP
- Le Parisien reports that Paris Saint-Germain could sensationally walk away from their contract with off-season signing Sergio Ramos, who is yet to debut for the club due to ongoing injury issues from his time at Real Madrid. PSG are said to believe they were misled about his injury status.
- Barcelona are interested in a loan deal for Manchester United's wantaway Dutch midfielder Donny van de Beek, reports Sport.
- Real Madrid are considering moves for Manchester United's Paul Pogba and Chelsea's Antonio Rudiger, claims Marca.
- Theo Hernandez will ignore Manchester City 's advances and pen a new deal with Milan, reports Calciomercato.
- Tuttosport reports hot property Fiorentina forward Dusan Vlahovic wants to join Juventus amid interest from Tottenham, among others.