We broke the story ... Vick is very passionate about wearing #7 -- the same number he's worn from high school to Virginia Tech and on both NFL teams he's played for.
Mike Vick tells TMZ Sports ... he will not fight to wear #7 on his jersey during his stint with the NY Jets -- and says it's all out of respect for Geno Smith.
But Mike says, "I want to pick a new number for the Jets, Number 7 is Geno's number."
Sources close to Vick tell us ... he has a lot of respect for the younger QB and doesn't want any drama that could possibly divide the team and believes giving up #7 shows that he's a mature and capable leader.
Vick says he hasn't decided which number he'll rock for Gang Green -- but tells us, "I am open to suggestions."