The former Leeds Rhinos man has had a fantastic first season in management, putting the Bulls on course for a play-off finish for the first time in four years.
The 36-year-old admits that he 'stole' some ideas from Smith, who coached the full-back while playing for England and the two also worked side-by-side on the coaching staff at Rhinos.
Cummins insists that friendship will be on hold when his side travel to take on the Wolves on Sunday as he looks to pick up a win against one of the 'big four' for the first time this term.
Cummins said: "Tony Smith has been a big influence on my career.
"As a player, he put the finishing touches to me and to Leeds and took them up a level but also when I retired and got the opportunity to coach with him and Brian McDermott.
"I am just looking forward to coming up against another of the perceived top sides."