Manchester United keeper David de Gea was voted into the team by his peers with the leading clubs dominating the vote, but Pulis says Begovic did more than enough to deserve inclusion.
The Bosnia and Herzegovina international has been linked with a move to United, Chelsea and Arsenal this summer but Pulis is far from convinced that he wants to leave the club.
"I think he has been consistently the best goalkeeper in the Premier League this season," Pulis said.
"He's been different class for us. I think the experience he's got from playing games regularly has been the biggest factor.
"Asmir has had a full run at the team this season and grown in stature because of it.
"There is no substitute for playing games and that's why I would always encourage youngsters at this football club to go out and play league football to gain experience."