Server vs. Client version mismatch

[Don Pavlish]

I'm programming a site now using PHP 5 and MySQL 5.

Our development server is running Server version 5.0.45 and Client version 5.0.41.

However, the final server we'll be deploying onto is through a different hosting provider. They are running Server version 5.0.54 and Client version 4.1.22.

PHPMyAdmin warns:
"Your PHP MySQL library version 4.1.22 differs from your MySQL server version 5.0.54. This may cause unpredictable behavior."

Is this something I should be worried about?

(I've searched quite a bit online for info/documentation about this, and have come up short... hoping one of the experts here might have some insight.)

Thanks! :)
-Don