Fifty-nine percent of Republicans would like to see Romney jump into the 2016 race, while only 26 percent believe he should stay out, according to the CBS News poll.

Fifty percent of Republicans would like to see former Florida Gov. Jeb Bush on the campaign trail as well, while 27 percent disagree. If both Romney and Bush run, analysts expect them to wage a competitive battle for the allegiance of the Republican establishment.

Another potential candidate viewed favorably by the GOP establishment, New Jersey Gov. Chris Christie, is sought less eagerly by Republicans. Only 29 percent say they’d like to see Christie launch a bid, while 44 percent say otherwise. (Only former Alaska Gov. Sarah Palin’s numbers are more underwater: 30 percent of Republicans say they’d like to see her run, but 59 percent disagree.)

Former Arkansas Gov. Mike Huckabee posts a respectable showing, with 40 percent of Republicans urging him to get in, and 29 percent urging him to stay out.