Lowe said he had not even talked to Strachan, as it had not been necessary to discuss the issue.
He said: "Why would I want to talk to Gordon about a speculative piece in a newspaper?"
Lowe confirmed he had been called by Leeds' chief executive Trevor Birch to confirm that they had made no approach to Strachan.
"Trevor rang me up as some joker wrote a piece about it and the journalist certainly didn't take the trouble to contact me and I was grateful for him to take the time to ring me up.
"These people need to fill papers and there are all sorts of names around.
"I'm sure it's very good for filling back pages of tabloids and broadsheets but we know what we are doing and that's good enough for us."
Lowe added: "I find it interesting that journalists will speculate that someone will want to move from a club that is solvent and ninth to a club that is verging on insolvency and bottom.
"But there appears to be this sort of arrogance of history in football which suggests relative rankings can't change, but the fact of the matter is that they do."