The 48-year-old admits that there have been queries from unnamed clubs for his striker, but would not discuss reports linking his team with a move for the Stoke target man
Graham, who was the Swans' top scorer last campaign, has been the subject of much recent speculation linking him with Sunderland and Norwich. Though Laudrup did not name any of the bidders, the Dane did attest to the fact that his striker had drawn concrete interest from rival clubs over the past few days.
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"Everywhere it is saying there have been some official bids," Laudrup told reporters. "It is true, but apart from that I don't really have any comment as in the next four days we have two very important games.
"So my only comment is we have had some bids and I don't want to go into detail about what clubs they are."
The Swans play host to Stoke City on Saturday afternoon, and are likely to be coming up against their own rumoured transfer target in Trinidadian striker Jones.
When asked about Swansea's reported interest in the forward, though, the Dane was unwilling to be drawn into making any concrete declarations, preferring instead to discuss the match itself.
"[Jones] will probably play. Maybe if he can play with us it can be 12 against 10 but I don't think that will happen,” Laudrup joked.
"Let's just say it is not the proper time to talk about a player when he is playing against us in around 24 hours time. Let's hope tomorrow he does not have too good a day as it is better for us.
"Saturday is a very important home game against Stoke in the league as after that we have two difficult away games against Sunderland and West Ham, and we all know about the game on Wednesday [against Chelsea in the Capital One Cup], so that is much more important."