Some fans of the group have been actively campaigning for the 'What Makes You Beautiful' singers to get together, even going so far as to dub them 'Larry'.
In an interview with Storyboard, Tomlinson insisted that the only person he is dating is girlfriend Eleanor Calder.
"This is a subject that was funny at first but now is actually hard to deal with, as I am in a relationship," Tomlinson declared. "Me and Harry are best friends. People look into our every move - it is actually affecting the way me and Harry are in public."
He also complained: "We want to joke around, but there seems to be a different rumour every time we do anything; I act the same way with Harry as I do any of the other boys."
Tomlinson recently denied that he and girlfriend Calder are planning to marry, but revealed that they are in fact moving in together.
He also enlisted Rihanna to record a special birthday message for Calder's 20th birthday earlier this week.
Watch One Direction's 'What Makes You Beautiful' music video below: