The selectors announced an initial party of 23 to face the Windies and the Tigers, featuring a number of players who played in an Indian Premier League that was cut short due to the coronavirus pandemic.
They have now added Christian, Agar, Ellis, Ben McDermott, Cameron Green and Ashton Turner.
All-rounder Christian, 38, and wicketkeeper-batsman McDermott will end spells in England with Nottinghamshire and Derbyshire respectively to fly home and complete the mandatory two-week quarantine period before the final squad's scheduled departure for the Caribbean late in June.
Christian has not played for his country since October 2017, while Agar and Ellis will be hoping to make their international debuts.
Promising all-rounder Green made his ODI bow against India last December, while Turner has featured in the 50-over format six times and played 11 Twenty20 Internationals.
Confirmation of the tours are subject to agreement on bio-security arrangements and relevant government approvals.
The Tigers wrapped up the series with two matches to spare as they prevailed by 10 runs on Friday.
But despite a fifth successive T20I series defeat, Australia hit back to prevent Bangladesh from completing only a third series clean sweep in their history.
Dan Christian led the way with 39 runs from 15 balls – including a whopping 30 after hitting five sixes during the fourth over – as Justin Langer’s side chased the target of 104.
A further 27 from Ashton Agar moved the visitors to the brink of only a second victory in their last 10 T20Is.
Andrew Tye sealed it with an over to spare and ended Bangladesh’s four-match winning streak.
NO CENTURY FOR SHAKIB
Shakib Al Hasan came into the match just three away from becoming only the second player after Lasith Malinga to take 100 wickets in men’s T20Is – and first for Bangladesh.
However, he failed to add to his tally of 97 and conceded 50 runs during his four overs, including that sensational 30 from Christian.
SWEPSON STEPS UP
Mitch Swepson stepped up to the plate for Australia with three wickets in four overs, while conceding just 13 runs – his new best figures in T20Is.
It was a wonderful return for the spin bowler, who dismissed Mohammad Mahmudullah, Nurul Hasan and Mohammad Naim along the way.
The Renegades beat Sydney Thunder by 12 runs under the Duckworth–Lewis–Stern method in a rain-affected clash in Canberra to end their nine-match losing streak in convincing fashion.
Sam Harper (52 off 38 balls) and Shaun Marsh (47 from 34) starred with the bat as the defending champions posted 172-4, with Mohammad Nabi and captain Dan Christian's late big hitting bolstering the total.
Sydney were behind the rate when the weather closed in, returning with a revised total of 135 off 14 overs and coming up short on 122-7 despite the best efforts of Alex Ross (51 off 27), as Christian proved the Renegades' saviour with the ball.
RENEGADES MAKE A STATEMENT
With such a miserable run of form weighing on them, Melbourne needed to post a challenging target.
Opener Marsh certainly got the memo, his 34-ball knock including six fours and a maximum, while Harper also got on the front foot to boost the holders.
Still, the late cameos of Nabi (11 off 3) and Christian (21 off 12) were key, with the Renegades on a modest 125-3 at the end of the 17th over.
A strong finish saw them put up another 47 runs in the final three overs, Nabi thrashing the last ball for six.
ROSS CUTS LOOSE BEFORE CHRISTIAN FIGHTS BACK
The revised target was a tough ask for the Thunder, who initially made precious little headway in pursuit.
That was until Ross thrashed 26 balls of one Nabi over to haul his side back into the contest.
But all-rounder Christian came to the fore in the next over, in which he took two wickets – including that of danger man Ross – for just five runs.
There were no late fireworks as the Thunder, who sit sixth, finished on 122-7.