The Scottish Championship leaders have already been busy during this window.
The Light Blues have reportedly been pursuing a move for St Johnstone striker Michael O'Halloran (via Evening Times), and while Warburton refused to discuss the possibility of signing the 25-year-old, he did hint that he is planning to oversee further arrivals before the end of the window.
"Let's be honest gents he [O'Halloran] is not our player. You know me by now. I'm not going to talk about other clubs' players," he said, as reported by the Evening Times.
"We hope to get one or two in. Sometimes they happen quickly sometimes they take more time. We are getting there, making progress."
The Scottish Championship leaders have already been busy during this month, signing both Maciej Gostomski and Harry Forrester on short-term deals, while Accrington Stanley pair Josh Windass and Matt Crooks have signed pre-contract agreements at Ibrox (via Evening Times).
And with the Gers' squad so strong - as exemplified by their five point lead at the top of the table - Warburton may be using the remaining days of the window to pursue the kind of players who he believes will benefit the side should they return to the Premiership at the end of the campaign, rather than look to short-term options for a promotion push that is already very much on track.