"Enjoy the new wheels and thank you to you and your fellow NHS Heroes," Team Ineos said on its Twitter feed.
Former Olympic champion Chris Boardman also offered Roberts a replacement bike.
Roberts was familiar with Team Ineos cyclist Rowe, 30, and former Tour de France stage winner Boardman.
"I've heard of them and know who they are," he told the BBC. "I don't really follow cycling; my bike is just a little run around, it wasn't an expensive bike, just something to get me to work and back.
"He (Rowe) asked me what my height was and what sort of bike I'd had and he said he'd drop something around in the morning." (Reporting by Martyn Herman; Editing by Ken Ferris)