The Gers boss faces a race against time to assemble a squad before a 12-month transfer embargo comes into effect on September 1.
He told rangers.co.uk: "I have meetings with (chief scout) Neil Murray and chief executive) Charles Green tomorrow.
"We will push a few names forward and see where we go.
"Charles has spoken to Craig Beattie's agent and he made him an offer.
"As yet, I have not heard back from him or from Craig but hopefully I will do in the next 24 hours."