Sam Allardyce distanced himself from speculation over a move for his former West Ham striker Andy Carroll last month.
But with Sunderland on the look-out for a new centre-forward in the January transfer window, there remains speculation over ex-Newcastle United man Carroll.
The England international continues to be hampered by injury problems at Upton Park, but Hammers boss Slaven Bilic insists the 26-year-old is not for sale.
Bilic said: "We need players, we need him fit, we need him back. He fits into my plans. I said this from the start and that didn’t change."
Allardyce has given an update on Sunderland's transfer plans today, with a new centre-half becoming more pressing after injury to Younes Kaboul.
Centre-half and centre-forward are Sunderland's priorities in the market, but Allardyce says there could be further recruits if there are departures from the Stadium of Light next month.
"A bit of trading might be the case, so you end up bringing in more than you think," said Allardyce.
Meanwhile, Allardyce has revealed that winger Adam Johnson is in contention for a central midfield spot against former club Manchester City on Boxing Day.
Allardyce's midfield options have been depleted by injuries to Seb Larsson and Lee Cattermole, plus a one-match ban for Jack Rodwell.
And that could lead to Johnson being used in the middle of the park at the Etihad. Read the full story here.