Folks attending Sunday’s Puerto Rican Day Parade will have plenty of time to take a break between floats — because half of them will be missing, sources said Thursday.

The sources said only 25 of 50 scheduled rolling displays will be heading up Fifth Avenue because so many sponsors pulled out over the inclusion of convicted FALN felon Oscar López Rivera.

But parade organizers said an influx of new community groups and artists will fill any vacant street space — and a contingent of as many as 1,000 supporters will be lining up with López Rivera.

“The parade is just as big as any other years. We just don’t have as many floats, that’s all,” said parade board vice chair Ululy Rafael Martinez, who is organizing the line of march.

“We have at least 140 groups marching. That’s a lot of groups. That fills up a lot of street. It’s less floats but more groups. I’m really heartened by that.”

Rafael Martinez said six mayors from Puerto Rico are coming with contingents along with artists who will be designing new floats.

“The people have spoken. This parade isn’t just about one person. This is our parade,” he said.

But the controversy surrounding López Rivera continues, with top state officials — including Sen. Charles Schumer and Gov. Cuomo — taking a pass on the parade this year.

The 74-year-old former leader of the violent FALN was convicted of seditious conspiracy and served 35 years before his sentence was commuted in January by outgoing President Barack Obama.

And parade organizers’ conflicting statements over whether the board was still honoring López Rivera has fueled, rather than quelled, the furor.

City Council Speaker Melissa Mark-Viverito, a vocal booster of López Rivera, claimed he was still being honored, but “decided to bestow it on the people.”

Mayor de Blasio insisted López Rivera was not getting a special ­accolade.

“I’m just not going dwell on this . . . He declined [the honor]. That’s all there is to know,” de Blasio said Thursday when asked about Mark-Viverito’s claim.

“I think we’ve covered this subject matter. I’ve made clear this should be about Puerto Rico . . . So she will do as she sees, fit but my focus is on Puerto Rico.”

During an interview Thursday, López Rivera said he has invited people from Puerto Rico, Chicago, Pennsylvania and Orlando, Fla., to march with him.

While he said he declined the “National Freedom Award,” he said he was excited about celebrating with his Puerto Rican compatriots.

“It should be a day of celebration for all Puerto Ricans. To me, that’s what matters,” he told Democracy Now.