reported speech

[fab54]

Hello,
If I want to report the question: "Will you go to the movies?" what should I say?

He asked me if I would go to the movies

Is it correct? I've been told to never use "if + would" but I suppose this is in a conditional sentence, and this is not a conditional sentence, right?

thanks

Fabien

 

[Francois]

He asked me if I would go to the movies
I think it's fine.

FRC

 

[TheMadBaron]

It's fine.

 

[fab54]

Thanks (Y)