The Uruguayan was absent from the matchday squad as United and Chelsea played out a dour draw on Sunday, neither team hitting a 1.0 xG during the 90 minutes.
Cavani has been out since the 1-1 draw at West Brom and posted on Sunday evening on Instagram that he was “eager to come back soon.”
United boss Ole Gunnar Solskjaer said: “We’ve had a training session this morning. Of course, it was a light one. We’re looking OK. There’s a couple of doubts for tomorrow that we have to give as much time as possible.
“Edinson trained, he joined in so that’s good. Let’s hope there’s no reaction after the session. Hopefully he will travel with the squad.”
Anthony Martial was named on the bench at Stamford Bridge, coming on for the final 10 minutes, and will be hoping to start on Wednesday.
Scott McTominay and Donny van de Beek returned to the United squad, though the latter failed to get on the pitch and will be hoping for more minutes in London.
Elsewhere, Paul Pogba, Juan Mata and Phil Jones are injured. Pogba has been ruled out since sustaining a thigh complaint against Everton on February 6.
“Paul is still not ready for us, no,” Solskjaer said. “He’s feeling better. He’s not been training with the team yet so he’s definitely not travelling down to London.”
Jones has not played this season due to a knee injury, having last played for United in the FA Cup fourth-round win at Tranmere in January 2020.
Asked if the England defender could feature this season, Solskjaer said: “With Phil, obviously we hope so but he’s working really hard.
“He’s had a couple of setbacks and it’s just that kind of injury that you have to be patient and give him time. I know all about knee injuries.
“I’m not sure (when he will be back). How long is a piece of rope? That’s how I felt as well when I came back. So (we’ll) give him absolutely every chance to get back this season. If not, hopefully for the start of next.”
Man Utd predicted lineup (4-2-3-1): De Gea; Wan-Bissaka, Lindelof, Maguire, Shaw; McTominay, Fred; James, Fernandes, Rashford; Martial
Injury list: Pogba, Mata, Jones, Mejbri
Wednesday 8.15pm, Sky Sports