A source said he was seen "bopping along" to Adele's set list, and singing along to the Grammy-winner's lyrics.
It came as it was reported his on-off girlfriend and "Mission: Impossible" co-star Hayley Atwell, 40, had moved on from their relationship and is now said to be dating music producer and self-styled pagan Ned Wolfgang Kelly.
An onlooker at the Adele show told The Sun: "Tom looked like he had an absolute blast. He was really going for it with his dancing and seemed to know all the words to sing along.
"After the set finished, staff brought the cake out for him and he couldn't stop saying thank you. He hugged his favourite hostess as they sang Happy Birthday.