Indeed, many had expected the 22-year-old to join Everton, having held talks with the Merseyside outfit.
But the Leeds man - who can play both at right-back and in right midfield - is said to have spoken to West Ham co-owner David Sullivan on Sunday, which has convinced him to turn his back on Everton's interest.
That has implications for Carl Jenkinson, who looks as though he will be allowed to leave West Ham and return to Arsenal at the end of the season.
The best move?
Leeds and West Ham fans may certainly be pleased with this outcome, as United will receive money for the 22-year-old instead of seeing him leave at the end of the season (although there could be a tribunal there if he did, anyway).
Everton supporters may be left disappointed but Seamus Coleman leaves them well covered at right-back already. A West Ham move could give Byram far better chances of first-team football.
Meanwhile, son of Sullivan, Jack, has posted a cryptic tweet that seems to support the Byram report...
maybe a surprise signing in the next 48 hrs.— Jack Sullivan (@jsullivanwhu) January 18, 2016