Williams is currently plying his trade with the Robins' Championship rivals Bolton Wanderers. He has made 19 appearances for Phil Parkinson's men, but perhaps the goalless draw with Stoke City last month could prove to be his final outing for the Trotters.
If Everton accept the offer, it is not too difficult to see why the 22-year-old may be tempted to head to Ashton Gate this month. He is playing regularly at Bolton, but they find themselves in the bottom three and fighting to stay in the second tier.
Lee Johnson's men are 11th and just five points off the top six. One team always seems to make a surge from mid-table in the second-half of the campaign and then carries all of the momentum into the play-offs, so perhaps the Robins could be that outfit.
A deal between Everton and Bristol City would evoke some memories of the move that saw Liam Walsh leave Goodison Park 12 months ago having spent the first-half of the season on loan with Birmingham City. Walsh has gone on to make six league appearances for City this term.
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