Liverpool assistant manager Phil Thompson's future at the club is under threat.
If Valencia coach Rafa Benitez chooses to accept Liverpool's offer, he will insist that his No2, Francisco Ayestaran, join him at Anfield.
Thommo rejoined Liverpool in 1998 when Roy Evans left and has been Gerard Houllier's assistant up until last week.
Fellow coaching staff Sammy Lee and Ian Rush, however, could land more prominent roles at Anfield, particularly as Lee is a fluent Spanish speaker from his two-year spell at Osasuna in the mid-1980s.