“Walter’s great,” said Warburton. “He comes in after the game and has a chat and it’s fantastic to have access to that font of knowledge.
“John Greig comes in too and I speak to him too. There are other managers down south I speak to as well. It’s great to have access to that type of experience.”
Smith never played for Rangers, but he is one of the greatest managers in the Scottish club’s history.
The 67-year-old former defender won the league title in the Scottish top flight 10 times with Rangers.
The Scotsman clinched the Scottish Cup five times with the Gers and the Scottish League Cup on six occasions.
Greig spent his entire playing career at the Glasgow giants and managed the first team from 1978 to 1983.
The former Scotland international defender won the league title with Rangers as a player five times, and the Scottish Cup and the Scottish League Cup twice as a manager.
Warburton was appointed the Rangers manager in the summer, and he has done a remarkable job at Ibrox so far.
The Glasgow outfit are at the top of the Scottish Championship table at the moment with 40 points from 15 matches.