Despite the expectation that Blackett will be replaced by new signing Marcos Rojo against Queens Park Rangers this weekend, the youngster is eager to remain around the senior squad.
"I know I'm not going to play in every match but I'd like to think I will get more games and opportunities to do well and be around the first team," he is quoted as saying by Sky Sports News.
"I'd like to be able to say next summer the team has performed well and I have played maybe 10-15 games. I want to establish myself at this level and prove to myself that I can play here."
United welcome QPR to Old Trafford in the Premier League on Sunday.