Tomkins broke his nose after an accidental collision with Marouane Fellaini towards the end of the game but it had already been bruised by van Persie.
Referee Mark Clattenburg decided not to punish the Dutch striker but Tomkins believes this was the wrong decision.
Speaking about the incident, Tomkins said: “The nose is a bit swollen. Fellaini was the second time in the match when I broke it. He has always got that about him when he goes up with his hands a lot.
“It is tough to say that he does it deliberately, but with the Van Persie one, I think he had a look at me first and then he has gone for me. I think that was more malicious than the other one, even though I came out worse the second time.
“I think it was definitely a yellow at least, but I don’t like to say that someone should have got sent off. I am sure that there are challenges that I might make in the future that could be yellow or something else.”
Van Persie’s elbow certainly looked painful and he might simply have been frustrated with his own performance given that he was ineffectual in the game. Paired with Radamel Falcao, the duo looked far from their best and struggled to work as a partnership.
Van Persie will have to show a similar fight about him as United head towards the end of the season, although fans will be hoping he doesn’t get himself banned.