Republic of Ireland international Lawrence has struggled to nail down a regular starting berth with the Barclays Premier League outfit during the second half of last season and Pulis worked with O'Neil during their time together at Portsmouth, prompting suggestions a deal could be done.
But the Stoke boss has poured cold water on such talk, telling the Stoke Sentinel; "I haven't spoken to Gordon (Strachan, Middlesbrough boss) about this, so I don't know where it has come from."
He added: "I can't honestly ever see that one being a starter anyway, because I'm sure Liam would want to stop in the Premier League in this country."
Source: PA
Source: PA