The Red Devils sit third in the Premier League table with a game in hand, after picking up a huge 1-0 victory at Stamford Bridge last week.
A victory against Brentford would strengthen their position on a Champions League place, but a defeat would set up a decisive showdown with Liverpool, who currently sit level on points.
United welcome Liverpool to Old Trafford next Sunday, before facing Sunderland, Nottingham Forest and Brighton in their final three fixtures.
The Red Devils have struggled in recent meetings with Brentford, losing their last two encounters both away from home falling to 3-1 and 4-3 defeats in September and May last year.
However, Manchester United has a strong record against Brentford at Old Trafford, winning their last four Premier League meetings at home offering encouragement ahead of tomorrow’s clash.
Michael Carrick will be without Patrick Dorgu who picked up a hamstring injury during the second half against Arsenal in January but may return for the Liverpool clash.
Manchester United defender Matthijs de Ligt remains sidelined with a back injury, although he has made encouraging progress in training in recent days.
Harry Maguire is expected to return for Manchester United after serving a two-game suspension following his red card against AFC Bournemouth.
However, Lisandro Martínez will be unavailable after being sent off for pulling Dominic Calvert-Lewin’s hair in the defeat to Leeds United, with the defender suspended until May 9.
Meanwhile, Brentford have drawn their last five Premier League matches and have picked up 48 points from 33 games. They sit ninth in the Premier League.
The Bees sit one point behind seventh-placed AFC Bournemouth and two points adrift of sixth-placed Brighton & Hove Albion in the race for European football.
Brentford head into this fixture on a six-match unbeaten run, although their last five Premier League games have all ended in draws, a sequence that has stalled their push for European qualification.
A win over Manchester United could reignite their hopes, but a difficult run-in awaits, with challenging trips to Manchester City and Liverpool still to come.
Brentford will be without Jordan Henderson, although he is close to a return, while Fábio Carvalho, Jay Dasilva and Antoni Milambo are ruled out for the remainder of the season.
There is more positive news regarding Rico Henry and Vitaly Janelt, who could still feature before the campaign concludes.
The match will be broadcast live on Sky Sports Main Event, Sky Sports Premier League and Sky Sports Ultra HDR with a kickoff time of 8pm.