Sancho was withdrawn in the 100th minute of Friday's FA Cup clash with Middlesbrough, and there were fears that the England international had suffered a thigh issue.
Fernandes, meanwhile, played the full 120 minutes of the fourth-round contest before scoring in the penalty-shootout defeat despite carrying a back problem.
Rangnick, though, is not expecting either player to be unavailable for selection against the Clarets, who are currently bottom of the Premier League table.
"Jadon didn't get a knock. He was just feeling tired. Bruno had a knock on his back but could play through the whole game. Hopefully, for Tuesday, we will have all of those players available again," Rangnick told MUTV.