Everton will meet with Liverpool City Council to discuss improving their 40,170-seater Goodison Park ground.
Chairman Bill Kenwright said: "(Chief executive) Keith Wyness has two weeks to come up with a plan, but he will also meet with the council next week.
"We will be having talks over improving the 'footprint' at Goodison - those are looking better than for a long time."
Despite a request by Sports Minister Richard Caborn, local rivals Liverpool are not keen on a groundshare.
The Reds insist that their planned new stadium in Stanley Park would be theirs alone - while Kenwright has also claimed that he "would rather resign than be Liverpool's tenants".
He explained: "If we can improve Goodison Park, that would be a real option.
"If we shared, it would still be three years before it happened so we would still need to do things to Goodison in the meantime."
"There is also a new site on the horizon and it is possible we will be looking into that as well."
JOBS A GOOD 'UN.