Begovic, 25, is battling Thomas Sorensen to be the Potters' first-choice pick between the sticks.
Begovic said: "I think I did pretty well last season and I ended the season as No1, so hopefully that remains to be the case.
"Obviously, Thomas will want to play just as much as I do, but we will have to wait and see what the manager decides.
"I am desperate to play games. I will be doing everything I can in pre-season training and in the matches to make sure I get that starting spot."