The Red Devils have been linked with a move for the Germany international in recent weeks as Louis van Gaal looks to address his defensive issues at Old Trafford.
And former United star O’Shea, who scored the equaliser to earn the Republic of Ireland a famous 1-1 draw in Germany this week, was impressed by the 25-year-old’s performance in the Euro 2016 qualifier.
O’Shea told talkSPORT: “I could definitely recommend them Mats Hummels from Germany [laughs]. He was fantastic last night [for Germany against Ireland].”
However, the Sunderland defender insisted that United’s defence troubles are not a serious cause for concern.
He added: “I think they’ve just been very unfortunate with injures, and consistency for a back-four is very important.
“If Jonny Evans stays fit he’ll be crucial for them, he’s a very good player, he talks and organises the defence.
“If they’re chopping and changing, with Phil Jones, Chris Smalling and the new signings as well, they can’t get a run of games together, and consistency is the key for any team aiming for the top four.”
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