Can I came back without visa J1withH-1bstatus2005-05-19 01:35:43

I only have a old J-1 visa on my passport, but I have changed my visa status to H-1B and hold a valid New I-94 for H-1B, My university international officer told me that if i want to come back from landing in Canada, I need to apply for a new visa.
is it correct?
any additional information is appreciated.
P.S. i am going to be driving to and from canada.

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回复：yes. in 30 days.

Thank you all for reply,