With the 26-year-old goalkeeper likely to vacant the position between the posts this summer, United manager José Mourinho will be looking ahead to possible replacements.
Manchester United boss Jose Mourinho does not expect Chris Smalling or Phil Jones to be fit to face Celta Vigo in the first leg of the Europa League semi-final on Thursday.
United's stalemate with City extended their unbeaten run in the Premier League to 24 games.
United's injury crisis deepened further after Timothy Fosu-Mensah sustained a shoulder injury during his late cameo appearance at the Etihad but it seems Juan Mata is edging back to full fitness following groin surgery. I thought he was more of an attacking midfielder at the start, he assists and scored the odd goal but he's been used in a variety of positions.
United may have Juan Mata, sidelined since the middle of March, available for Swansea but France worldwide Paul Pogba remains out with a leg muscle injury and is being saved for Thursday's Europa League semi-final with Celta Vigo.
Jose Mourinho has already said that winning the Europa League would be his preferred method of qualifying for next season's Champions League.
To be honest we played well, but when you don't win it is hard to take.
"There is always this dilemma of keeping a bigger squad but the players, they don't want to stay".
The 18-year-old Italian is one of European football's most promising goalkeepers after breaking through to the AC Milan first-team in 2015.
The Uruguayan has served his one-match ban, but Agnew is still upset over his red card, which contributed to a 4-0 whipping.
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"All the time we finish above them in the season, it shows City are doing very well", he said.
Simon Brotherton: "Manchester United's push for a top-four finish continues against a Swansea side who are now two points from safety in their battle to avoid the drop".
After the match, a few City players took to social media to react to the result, and Pep Guardiola spoke to the press to give his take on what happened in the Derby. But we will fight, that's for sure. The spirit is awesome, the group is phenomenal.
"I feel I can contribute quality, composure, experience, and know-how, how to get over the line, whether it's to win the league or finish top four or get to the final".
"I didn't think it was possible for Wayne to play 90 minutes".
"But the reality is we have two competitions to play for and we have to go with everything we have". I think they miss happiness, they miss trust, they miss belief.
"They have it (now)".
"Next July 9, when we meet again for next season, it's a stronger group", he added. "So the new players when they arrive will find a group more ready to go for big things", the former Chelsea manager explained.
It means he will miss three domestic matches, so in addition to Swansea's visit on Sunday, he is unavailable for the trips to Arsenal and Tottenham Hotspur.