Cottagers boss Roy Hodgson insisted he would be the first to know were Wenger - linked with Brede Hangeland in the last transfer window - set to step up any interest in the 20-year-old, whom Fulham plucked from non-League Maidstone and is now rated at around £7million.
Wenger feels Arsenal currently have enough cover at centre-half, following the re-signing of Sol Campbell.
Arsenal interest: Wenger has been linked with a move for Chris Smalling
However, were Philippe Senderos to leave, with Celtic a possible destination, then Wenger could be back in the market.
For now, though, the Gunners boss insists there is nothing concrete to report.
'He is a player we know, yes, but there is no truth in it at the moment,' Wenger said.
Celtic target: Philippe Senderos
'Maybe in the future. I never rule anything out. I never speak about transfers
'It is very interesting to make headlines, but the most important is that we inform the press when things are done.
'If the press knows every moment about every single transfer, I do not think that is right.'
With striker Nicklas Bendtner coming close to a first-team return,perhaps in time for the visit of Manchester United next weekend, Wengerhinted he may now not move to bolster the squad with another forward.
'At the moment we are not on the verge of signing anybody,' saidWenger, set to be without injured Holland international Robin vanPersie until April.
'It is very difficult in January to find players who are availablefor the Champions League, who are just good enough to play for Arsenaland at the right price.
'You never know, but at the moment it [to sign a striker] is unlikely.'
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