10/25 deep 4bet pot big draw

[MrPapaGiorgio]

what is his stack size?

Assuming he has ~ the same as you, I'm pushing here every time. He could trying to get a free turn card by taking control of the hand with the minraise, which could indicate that he's on a draw as well. So you've probably got some fold equity here with a push. Even if he calls you could find yourself in excellent shape.