These will be the first recording sessions since the band confirmed the new lineup after Josh and Zac Farro quit back in December.
"Oh!! Just got a call from @itstayloryall --- he & @schzimmydeanie just touched down in LA!! We're recording a couple new songs this week (sic)," Williams wrote on Twitter.
The singer had previously stated that Paramore are aiming to release new material by the summer.
The band recently posted a demo of track 'In The Mourning' online, but told fans not expect a fully mastered version on the next album.