Sixty percent of those polled said Gingrich should drop out of the race, while 61 percent said Paul should end his campaign.
Gingrich and Paul trail badly in the polls and the Gingrich campaign is in debt. Both have pledged to stay in until the convention.
The poll shows Romney with a double-digit lead over the field nationally, taking 36 percent, followed by Santorum at 26 percent, Paul at 17 percent, and Gingrich at 15 percent.
Santorum led Romney 34 percent to 32 percent in the same poll taken one month ago.
Many have speculated that Gingrich dropping out would benefit Santorum, as both have positioned themselves as the conservative alternative to Romney. However, the CNN-ORC poll shows that this is not the case.
A majority of Gingrich supporters said they would support Romney as their second choice. Without Gingrich, Romney’s lead extends from 10 percent to 15 percent, and without Paul, it grows to 19 percent.
The poll was conducted from March 24-25 and has a 3 percent margin of error.