Woodward was photographed talking with United manager David Moyes, who earlier this week said he didn't think United would add to their squad, with less than 36 hours until the window shuts.
United are actively trying to make a second acquisition to ease their problems in midfield. Marouane Fellaini, who hasn't played in nearly two months, returned to training today but Ryan Giggs and Phil Jones' presence in the starting line-up for the win against Cardiff in midweek reaffirmed Moyes' paucity of options in that area.
Woodward was at United's training ground to talk to Moyes on Thursday
Juan Mata arrived last week for a club-record fee of £37.1 million and Moyes has made a number of trips across the continent to scout potential signings in recent weeks.
The Scot has watched Atlético Madrid's Koke, Juventus duo Arturo Vidal and Paul Pogba, Paris Saint-Germain's Blaise Matuidi, as well as German duo Patrick Herrmann and Toni Kroos.
Bayern Munich midfielder Kroos reacted angrily to being substituted in their 2-1 win at Stuttgart on Wednesday night and talks over a new contract have stalled.
Fellaini hasn't played for United since their December defeat to Everton
Kroos' current deal expires in 2015 and although he has started the last two games since the Bundesliga's resumption, he is effectively Bayern's fifth choice midfielder under Pep Guardiola. Philipp Lahm has switched from right-back to central midfield and Thiago Alcântara has also overtaken him in the pecking order.
Guardiola admitted Kroos could leave the club after Thiago struck a last-minute winner for the Bavarian giants.
"He is an important player but things can move fast in football. Here today, gone tomorrow," Guardiola said.
The Champions League is United's only chance of a trophy this campaign, yet Mata is cup-tied, having played in the competition for Chelsea twice in the group stages.