The North West Development Agency is to carry out a study into ways Everton could be kept within the Liverpool city boundary.
Council leader Warren Bradley wrote to the NWDA asking it to examine the economic benefits of the new stadium being built in Liverpool rather than Knowsley, and to look at a number of alternative sites.
He also wrote to Tesco, which has already signed a deal to build a new stadium in Kirkby, asking the supermarket giant to take part.
Cllr Bradley indicated that the council would be willing to ensure the infrastructure was in place if a suitable site was found.
He said: "The council is willing to put support into this through planning and highways.
"A copy of the NWDA letter has gone back to Everton and I will be speaking to the club sooner rather than later.
"We've wanted to establish a line of funding on one particular site. But that dialogue has got to take place.
"The bridegroom and all his family are waiting for the bride – and the bride is Everton.
An Everton FC spokesman said: "Despite the fact that we have been in an exclusivity agreement with Knowsley council for some time, Liverpool city council has always been free to come forward and go public with what they believe to be a deliverable alternative.
"In terms of a viable site with a workable business plan this has so far not happened."
"We have been given a mandate by our supporters and are continuing negotiations with Knowsley and Tesco about the possibility of relocating to Kirkby."