Begovic has enjoyed an impressive season for Stoke and has been linked with the likes of Arsenal, Liverpool and Manchester United.
The January acquisition of Jack Butland from Birmingham City only served to fuel speculation that the Potters would cash in on Begovic in the summer.
However, following the departure of manager Tony Pulis, the 25-year-old is trying not to think about where he will be playing his football next season.
Instead, Begovic is planning a short break before linking up with Bosnia-Herzegovina ahead of next month's 2014 World Cup qualifier away to Latvia.
"Now, I'm on my way for a holiday, but I don't know yet what will happen," Begovic told SportSport.
"Will I leave Stoke City? There are many rumours, but so far I didn't get any concrete offers. But that doesn't mean that I will not get one.
"Right now, I don't want to think about all that. First, I need some days off, then I have an important match with my national team."