But The Mirror reports that Sigurdsson will not join the Reds until he has met Swansea’s new boss first.
Sigurdsson impressed for Swansea, while on loan at the Liberty Stadium last season.
The midfielder was expected to make the move permanent, but when manager Brendan Rodgers left Swansea for Liverpool, Sigurdsson changed his mind.
Sigurdsson is now expected to become Rodgers’ first signing as Liverpool boss.