The 29-year-old has signed a four-year contract, with Reds
reserve team players Lauri Dalla Valle and Alex Kacaniklic moving
in the opposite direction.
Konchesky was at Anfield to watch his new team's victory over
West Brom on Sunday but saw his deal was held up by negotiations
and medicals at Fulham's end.
The left back, who played under Hodgson at Craven Cottage, will
provide much-needed competition for Fabio Aurelio at left-back.
Argentinian Emiliano Insua is set to leave the club, with a
proposed loan to Galatasaray, after an earlier move to Fiorentina
collapsed over personal term.
Konchesky meanwhile has been allocated the No3 shirt at his new
club.