Shaw has signed a long-term contract with the club, ending speculation linking him with a move away from St Mary's.
"I have spoken with the chairman about a long-term plan for me at the club," Shaw said.
"To put an end to all the speculation, I will be committing my future to Southampton. I'm not going anywhere.
"I think Southampton is the place to be for young kids like me. I'm playing in the Premier League for the first team and that is all anyone wants to be doing, so I just want to carry on."