Anfield legend Kenny Dalglish gave guarded backing to a groundshare between the two Merseyside clubs in September, and Everton chairman Bill Kenwright hinted later he was willing to discuss the matter.
Everton announced plans in August to build a £9m retail and office complex at Goodison Park. However, Kenwright insisted the proposals did not mean that the club had ruled out a move to a new stadium.
The Toffees, who are fourth from bottom of the Premier League, host third-bottom Liverpool in the Merseyside derby on Sunday.
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