The Old Trafford boss has seen a number of targets slip by this summer since succeeding Sir Alex Ferguson, but he will not be without new signings once the window closes, says the report.
But who else is making the news in the back pages on Saturday? Read on to find out more.
Moyes is about to embark on a quadruple assault on the transfer market with a £77 million spend before the transfer window closes, claims Neil Custis of The Sun (subscription only).
The Manchester United boss has seen one offer for Athletic Club Bilbao midfielder Ander Herrera rejected but is preparing to trigger a £31 million release clause for the Spaniard.
According to Cross, Arsenal are offering £40 million for 19-year-old Draxler, but the Bundesliga club are looking for a further £20 million before considering a deal.
Speaking after the UEFA Super Cup defeat by Bayern Munich on Friday night, the Stamford Bridge boss admitted his transfer business was concluded for this summer.
Winger Christian Atsu completed his £3.5 million move from FC Porto to Chelsea on Friday and will, immediately, be loaned to Vitesse Arnhem, while the Blues have rebuffed Ajax's attempt to take Marco van Ginkel on loan, reports Simon Jones of the Daily Mail.
The former Wigan Athletic player only joined the Blues a year ago, but has failed to make an impact on the first team.
The Reds will see off the challenges of Everton, West Brom, Southampton and Schalke to land Moses on a season-long loan deal for which they will pay the player's wages and a £2 million fee, according to Kajumba.
In the same newspaper, Gary Jones claims Liverpool are considering a move for Montenegro U21 international Deni Hocko, who has been dubbed the 'new Andrea Pirlo' while playing for Buducnost Podgorica in his native country.
The Wales international is poised finally to sign his contract with the Bernabeu club, with Pete Jenson of the Daily Mail reporting that the transfer will be £78 million to ensure Cristiano Ronaldo's world-record £80 million figure from 2009 is not broken, and to keep the former Manchester United man happy.
Newcastle have made a £10 million move for Lille midfielder Florian Thauvin, reports Luke Edwards of the Daily Telegraph.