The Red Devils will return to Premier League action with a tricky game against the promoted side at Bramall Lane.
Manchester United signed off for the international break with a 3-1 victory over Brighton and Hove Albion.
Sheffield United are unbeaten in their last five Premier League games to hoist themselves up to fifth spot in the table.
The Blades are a point ahead of Manchester United in the race to finish in the Premier League’s top four this season.
Manchester United have only managed to win one of their six Premier League games on the road in the current campaign.
Former Liverpool FC defender Lawrenson believes Manchester United will secure a vital win at Sheffield United on Sunday afternoon.
“Sheffield United have been brilliant so far this season but Manchester United are starting to look like a better team, just because Anthony Martial is fit again,” Lawrenson told BBC Sport.
“I know Martial can be very up and down as an individual, but just having him on the pitch seems to make a difference and United’s other attacking players – Marcus Rashford and Daniel James – are also looking very sharp.
“I’ve already mentioned a couple of managers facing their old teams this weekend, but this game sees a return to a former club for a player – Manchester United’s Harry Maguire, who started his career with the Blades.
“I think Maguire will leave with the points.”
Manchester United finished in sixth spot in the Premier League table last season after Ole Gunnar Solskjaer replaced Jose Mourinho back in December.
The Red Devils signed Aaron Wan-Bissaka, Harry Maguire and Daniel James in the summer transfer window to bolster their squad ahead of the new season.
However, Solskjaer’s side have struggled to find consistency throughout the current campaign.
Sheffield United have only lost three of their 12 games since being promoted to the top flight.
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