In doing so, Bamford beat out competition from 27-goal hitman Daryl Murphy who McCarthy was managing at Ipswich Town at the time.
But the Republic of Ireland boss, who is trying to recruit the England-born striker for the international fold, admits that the Boys in Green need somebody of his prowess up front.
“I do like him. I didn’t like him when he got player of the year in the Championship, because Murphy should have had it, because he scored 27 goals and he was a Championship player and not a player on loan from Chelsea," he told The Irish Examiner.
"I haven’t had a chance to tell him that, but he’s probably read it because I said it before.
"He’s a goal scorer, he’s a proven goal scorer, technically a very good finisher and we haven’t got that many. To be fair, we haven’t got that many that are playing.”
McCarthy's side have competitive meetings with Gibraltar and Georgia in March but the injured Leeds striker won't be thinking about those games yet, if he declares for the Irish that is.
Bamford has only managed 29 minutes of Championship football since August. He scored in his comeback game against Bolton last month but hasn't been seen since.
It remains to be seen when he'll return but the promotion-chasing Whites could do with him back as soon as possible. Kemar Roofe, who has 14 Championship goals, is doing the business up front at the moment, but if he runs out of steam then it could very well affect United's form.