Bale struck twice in victory at West Ham United last night.
When asked if he felt Bale could win the player of the year award AVB replied: "I think so, it would be truly deserved, but not up to me to make that consideration.
"But you have to recognise he's having a tremendous season. So probably a contender, he is for us, hopefully he can get there.
"He is a great, great talent and to see him keep trying in the last minute exemplifies the talent that he is.
"Taking the ball, receiving it, getting fouled in between, getting up - he has got stick for staying down - but he gets up and gets on with business and managed to score a great goal."