Liverpool and Barcelona great Suarez joined Gremio in January, having helped his boyhood club Nacional to the Uruguayan Primera Division title on his return to South America last year.
Suarez has scored four goals in 12 appearances in the Brazilian top flight this campaign, but his future is in doubt amid reports he is Miami's next big-name target.
Miami have already signed Suarez's former Barca team-mates Messi, Busquets and Alba, and Sunday brought confirmation they had traded with the San Jose Earthquakes to gain another international registration slot.
That move has heightened speculation regarding a move for Suarez, and while Lucas understands the draw of MLS, he hopes Gremio can keep the striker.
Asked about Suarez's future, Lucas – who retired in March after being diagnosed with a heart issue – said: "He made a fantastic impact here in Brazil at Gremio.
"I think made the right move. Luis is a world-class player, we don't need to speak about his qualities and what he's doing here in Brazil.
"He's been linked, but I just hope he can stay at Gremio because it's my club and he's my neighbour here!
"I hope he stays a bit longer but MLS is getting attention from every player and from the fans. It's normal that he will be linked with big teams like Inter Miami."
After Messi marked his Miami debut with a dramatic free-kick winner against Cruz Azul in the Leagues Cup, there has arguably never been a more compelling time to follow MLS.
Lucas is among those excited by the league's potential, adding: "MLS is growing every year, people are watching more MLS. If you look back maybe 10 years, nobody would have expected that.
"Americans know how to do these things, so well done to them. Messi going there will just attract a lot of fans and people who will be following the league, so it's great.
"It's great because football should be everywhere in the world because it is a fantastic sport that people love to watch.
"We can see him in another league, not in Europe. In America, it's a great thing for the fans that love football. It's a league that is improving and is growing and getting better every season."
Suarez was reunited with his former Liverpool team-mate when he joined Gremio in December, though was unable to take to the field with the Brazilian midfielder.
Lucas had already been forced to withdraw from training earlier that month after the discovery of a heart issue was made during a routine screening.
After spending some time to evaluate and undergo further tests, the 36-year-old confirmed at a press conference on Friday that he had decided to call time on his playing days on doctors' advice.
Suarez – who played for Liverpool alongside Lucas between 2011 and 2014 – paid tribute to him after opening the scoring for Gremio at Ypiranga by revealing a written message on his under-shirt which read: "Lucas, our heart is with you, we are together".
Gremio's players also wore shirts with Lucas' name on the back, while head coach Renato Portaluppi adorned a t-shirt with the player's name.
Ypiranga went on to win 2-1 in the first leg of their Campeonato Gaucho semi-final through a 96th-minute penalty from Erick, with the second leg due to take place at Arena do Gremio on Saturday.
Suarez is reportedly in talks with Miami over a move which would see him reunited with former Barcelona team-mates Lionel Messi, Jordi Alba and Sergio Busquets.
The Uruguayan is seemingly closing in on a one-year deal with the MLS outfit after spending 2023 with Gremio, who finished second to Palmeiras in their first season back in Brazil's top flight, having spent the previous campaign in the second tier.
Suarez scored 17 league goals for Gremio throughout the year, also adding 11 assists to give him the most total goal involvements (28) in the Brasileirao.
The striker, who will turn 37 in January, hit 27 goals across all competitions before departing as a free agent, and recently retired defender Chiellini says he would thrive in MLS.
"You see what Suarez did this year in Brazil… Brazil is not considered a weak league," Chiellini, who was famously bitten by Suarez at the 2014 World Cup, told Stats Perform.
"Suarez scored almost 30 goals, we still see something there and it's still really good. Now football is changing all over the world.
"There are less differences between some leagues in Europe and other countries. The only league that's very different from every other one, I think, is the Premier League.
"But to be honest, the other ones we can compare, and you can also find good players in some weird leagues that some years ago you never considered. Now it is very different."
