The 18-year-old teen heartthrobs have both been spotted viewing luxury £1 million properties on the same street in affluent Primrose Hill, north west London.
A source told The Sun newspaper: ''The boys are working so hard and getting so much attention they want to start seeing what they've earned and find somewhere they can call their own and relax in.
''They really like the idea of Primrose Hill. It's a celebrity haven and they're the biggest news in town right now.''
Liam - who is dating dancer Danielle Peazer - visited a 1,400sq ft property worth a huge £1.35 million last Thursday (12.06.12), just days after Harry was spotted in the area with a team of estate agents.
The bachelor pad is described as an ''extremely spacious 2 bedroom apartment located in a prestigious Georgian building''. It is furnished to ''the highest specification'' and contains a ''mezzanine style study area''.
'One Thing' hitmakers One Direction - also comprising of Zayn Malik, Niall Horan and Louis Tomlinson - achieved international success this year with their debut album 'Up All Night', and residents of the upmarket area have already voice their concern about their potential new neighbours.
A source recently revealed comedian David Walliams is against the move, saying: ''David found out Harry was looking in the area, but he doesn't like the idea of hundreds of teenage girls camping out in the neighbourhood.''