The former Rangers striker, who now works as a pundit for BBC Sport, believes that Tavernier is not as good as he is made out to be.
Dodds has said that the 28-year-old former Newcastle United right-back makes more mistakes than he should.
Dodds told The Glasgow Evening Times: “People keep thinking I’m having a go at James Tavernier, he’s been there through all the lower leagues and there’s a mistake continuously thrown in. Now everybody makes mistakes but these are big ones.
"But he’s made four or five a season that have cost Rangers big games. Against Hearts in the cup, even in Europe when they faced Young Boys it didn’t cost them but it is continuous."
Dodds added: “Tavernier is a good player, but I don’t think he is as brilliant as he thinks."
Tavernier has made some costly errors this season, and the right-back has also struggled from the penalty spot.
While it is true that the former Wigan Athletic right-back needs to step up his game and improve, it cannot be denied that when in form, he is arguably the best player in his position in the Scottish Premiership.
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