The 18-year-old has not played since undergoing knee surgery in December, but may be at Euro 2024.
Clarke has included Doak in his 28-man group, which will be whittled down to 26 before the tournament starts.
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"Ben has a lot of talent, he catches your eye," said Clarke.
"Pace is something we haven't got in abundance. He's something a little bit different.
"I've never had the chance to work closely with Ben. It just seemed like the right opportunity to put him in, with the squad going up to 26 from 23.
"We'll have a look at Ben and see how he does."