Newt Gingrich is surging in the presidential polls, but his campaign organization has not caught up — making it possible he’ll miss Wednesday’s deadline to file enough signatures to even appear on Ohio’s primary ballot.

Mr. Gingrich, the former House speaker whose once-moribund presidential campaign has been resurrected in the polls in recent weeks, already missed the deadline for Missouri’s ballot. With several other state deadlines looming this month, his campaign is showing growing pains as it strives to meet them.

“We are going to give it our damnedest. We are going to do everything in our capacity to meet this deadline,” Gingrich spokesman R.C. Hammand said of the Ohio deadline. “As far as the next deadline, we’re on pace for everything else.”

Gingrich backers said the campaign could mount a write-in effort in Ohio if need be. But missing that state’s 4 p.m. Wednesday deadline would be the latest embarrassment for Mr. Gingrich’s organization.