Waghorn and Tavernier both moved to Ibrox this summer, and the pair knew each other well, having played together at Wigan Athletic earlier in their respective careers.
During their time together in England, Tavernier spotted Waghorn's quality, and the full-back has no doubt that the 25-year-old will continue to bang the goals in as the season progresses.
“Waggy has hit the ground running," Tavernier said. "With the amount of chances we create more and more goals will come from him and he will be top scorer this season – I can vouch for that.
“The fans are seeing what he can bring to the team – his hold-up play, creativity, assists and goals.
“He is a good player all round – he can play up front, left or right. And he will only get better."
Waghorn has scored 15 goals in his first 16 games for the Light Blues, and he has quickly become a fans' favourite at Ibrox.
The striker's ruthlessness in-front of goal has proved too much for most defences in Scotland to cope with, and his form has shown no signs of slowing down.
Waghorn is already five goals clear of the Scottish Championship's next top-scorer - which is Hibernian's Jason Cummings - and it appears that he will take some stopping, if he isn't to take the golden boot.
Waghorn's good form has been one of the reasons behind Rangers' blistering start, which has seen them win their first 11 league matches and take an eight point lead at the top of the table.