Leeds will return to action on Saturday afternoon when they take on Reading at Elland Road in the Championship.
Vieira has yet to start in the league for the Whites this season and has played a total of 54 minutes in the Championship.
The 19-year-old midfielder was an important player for the West Yorkshire outfit last season.
The England Under-20 international started 24 Championship matches for Leeds in 2016-17, scoring one goal in the process.
Former Leeds head coach Redfearn has said that Vieira should start against Reading at Elland Road in the league on Saturday afternoon.
Redfearn has pointed out that the Whites have been missing athleticism and physical presence in recent matches, and that the teenage midfielder could provide that.
"I would definitely go with Vieira,” Inside Futbol quotes Redfearn as saying about Vieira. "I think he gives you athleticism and physical presence, and it's something that Leeds have been missing in recent times.”
Leeds are fifth in the Championship table at the moment with 20 points from 11 matches, four points behind leaders Cardiff City.