The coach became lodged in a short tunnel - marked with a 3.2m height limit - close to Edinburgh Castle after the 1-1 draw at Easter Road.
Another coach was dispatched, but several players made alternative travel arrangements.
Jamie Murphy posted a picture of the bus on Twitter, and said: "Train home after bus mishap!"
Big-spending team-mate Omar Daley replied: "Jamie Murphy should take a cab, saving the penny I guess."
Striker Henrik Ojamaa added: "Bus driver performing as well as me today."