Why are there two g's in "suggest"?

[conuly]

Logically speaking, shouldn't that spelling result in the pronunciation "sug jest" instead of "suh jest"? What the heck is that extra g doing there? Twiddling its thumbs? Picking its nose? Doing the hula? Plotting world domination via illogical orthography?

Interestingly, etymonline.com says that it's from the past participle of "suggerere", which looks like somebody hiccuped while typing. Or speaking, the Romans not having keyboards.

Edit: I now have three comments going "But I do say it that way". For two of you, please confirm: That's sug jest, with the g as in girl?

I've never, ever, ever heard it that way, but assuming that this pronunciation didn't spring up because of the spelling (which is why Brits now say the H in "herb") it all makes sense now!

Merriam-Webster includes that pronunciation, but the OED doesn't.