Jenkinson was impressive last week for victory at Sunderland.
"I believe that if I am playing regularly, and I'm playing well, I can be England's right-back," he told talkSPORT.
"If you're going to break into the England squad you need to be playing regularly.
"First and foremost I need to show the boss what I can do and show my credentials and that I am capable of playing regularly at this club.
"I believe I'm getting to that stage now where I'm more than ready to take my place and play week-in and week-out at this club."