Are the two obviously differentiated like that?
In most of the American English accents I’m familiar with, they’re pronounced “WI men” and “WŌ man.”
If I try to sound out using an I in both, the only way they sound different to me is if I move the accent to the final syllable, to mane it stand out. Something like “wi MEN” vs “wi MAN.”
If so, I’d love to hear where you’re from.