Bond yields have been on the upswing since the 10-year Treasury yield hit an 11-month low of 2.4 percent last Thursday, and two prominent experts expect the ascent to continue.

The 10-year Treasury yield stood at 2.58 percent early Thursday.

"At the end of the year, rates will end up somewhere around 3 percent to 3.25 percent," Darrell Cronk, deputy chief investment officer at Wells Fargo Private Bank, told CNBC. "I think it will move fast when [economic] growth picks up in the second half of the year."

Editor’s Note: Get These 4 Stocks Before 399% Stock Market Rally!

The economy contracted 1 percent in the first quarter, but many analysts predict it will grow about 3 percent for the rest of 2014.

Joseph Tanious, global market strategist at J.P. Morgan Asset Management, also sees bond yields rising further.

"Not only is growth improving, but you have the largest buyer of Treasurys every single month [the Federal Reserve], basically telling you they are going to take a step back and stop making these purchases at some point this year," he told CNBC.

The Fed is expected to end its quantitative easing in October or December.

Others are bearish on Treasurys too. "I think the short base is building again," Tom Tucci, head of Treasurys trading at CIBC, told Reuters. "[Monday] there was a large amount of corporate issuance that will continue into the end of the week."

Treasury bears outnumber bulls by the highest number in eight years, according to a JPMorgan Chase survey released Tuesday, Reuters reported.

Editor’s Note: Get These 4 Stocks Before 399% Stock Market Rally!

Related Stories:

• Jeremy Siegel: Bond Yields Will Surge Higher on Stronger Economic Data
• El-Erian: Concern About 'Lowflation' Pushes Bond Yields Lower