The Sunday Mirror says Premier League strugglers Bolton and Hull have joined Newcastle in the £2million chase for Beckford.
New Trotters boss Owen Coyle wants to make the Leeds hit-man,26, his first signing at the Reebok.
Tigers chief Phil Brown believes Beckford can grab the goals to deliver his side from relegation.
Toon manager Chris Hughton believed he had the field to himself for the former Wealdstone marksman, and is ready to treble his £6,000-a-week wage at Elland Road to get him to Tyneside.
But Beckford's FA Cup heroics at Old Trafford a week ago have alerted other clubs to his availability.