H-1B and Employment In Your Home Country

Hello,
I am a Canadian citizen currently finishing out the sixth year of my H1b. I have been offered a part-time contract position in Canada and would like to take the contract position and continue working in the US on the H. However, I am concerned about jeopardizing my H1b status, now and in the future, as I plan to return on another H or L after I stay out for a year.
Can I take the contract position and keep working on the H?
California

You would be remaining in the U.S. on a valid H1B visa, working your job here, but also doing some part-time work for a Canadian employer? That shouldn't be a problem.