Twitter chief Dick Costolo said Thursday that "a relationship" with Google has been rekindled, but he was coy on the details.

The deal will make Twitter messages more visible on the Internet, according to reports by Bloomberg News and The New York Times, with tweets showing up in Google searches as soon as they are posted.

"I do want to confirm that we have a relationship that we have agreed to with Google," Costolo said during a quarterly earnings call with analysts.

"I don't have any more details to share with you at this time."

Deutsche Bank analyst Ross Sandler said in a research note this tie-up "could be the catalyst to push shares meaningfully higher," and help Twitter add users.