The 29-year-old Bosnia and Herzegovina international spent six formative years living in Canada.
Begovic, who was born in the former Yugoslavia, lived in Canada between the ages of 10 to 16 before moving to England in 2003 to begin his professional career with Portsmouth following a successful trial.
The 29-year-old Bosnia and Herzegovina international later joined Stoke City in early 2010 for £3.25 million and soon established himself as the club’s first-choice keeper, going on to feature 173 times for the Potters and record 50 clean sheets in the process.
His impressive displays eventually earned him an £8 million move to Chelsea last July, where the 6ft 6in stopper has since made 25 appearances while deputising for incumbent starter Thibaut Courtois.
The 50-times capped custodian still has another three seasons left on his Blues contract, which is worth a reported £75,000-a-week, but he has admitted that he could be tempted back to North America at some stage if there was an appealing offer on the table.
Asked in a Facebook Q&A whether he would ever consider playing in MLS, Begovic told the Men in Blazers: “I could see it in my future, yes. There you go, breaking news! MLS is attractive, definitely.
“I think the league is growing all the time and it’s something I could potentially see in the future for me if the opportunity ever comes up.
“It’s got some really good coverage over the last couple of years,” he continued. “Sky Sports show it now every week and they advertise it really well, so it’s a big deal.
“It seems like more and more guys are going over so it’s definitely growing there and becoming more and more popular.
“Maybe it’ll happen for me in the future, but MLS from our point of views seems like it’s growing all the time.”
In the meantime, Begovic is preparing to make a good first impression on incoming Chelsea manager Antonio Conte once the Italian national team boss takes over the club following Euro 2016, where his side are set to face Spain in the last 16 after topping Group E with six points ahead of Belgium, Republic of Ireland and Sweden.
“There’s a little bit of excitement, of course,” the backup keeper added. “That’s probably the main emotion you feel when a new manager comes in. It’s a chance to work with someone else, learn about what they do and learn from them.
“You also have to see whether he has you in his plans. That’s something that every player thinks about, but I think it’s more excitement than anything. It’s a chance to work for a new guy, impress a new manager and help them be successful.”