Loria added that he doesn't expect Valentine to be in South Florida on Saturday.
Asked if it could take a week, the owner said: "It will take as long as it takes."
A source close to the team said Arizona third-base coach Bo Porter, who was Florida's third-base coach from 2007-09, interviewed for the job on Friday.
Regarding Valentine, Marlins president David Samson said to ESPN that "all the parties" could not be in place for an in-person meeting, but a phone conversation had occurred.
Interim Marlins manager Edwin Rodriguez, who replaced dismissed manager Fredi Gonzalez on Wednesday, remains a candidate. If a decision isn't made by the end of the weekend, Rodriguez is the likely choice to manage the Marlins when they travel to Puerto Rico to face the Mets in a three-game series starting Monday.
Rodriguez is the first Puerto Rican-born manager in Major League history, and there is some sentiment from within the organization to give him the experience of returning home with a big league club.
Even if he isn't managing the team in Puerto Rico, Rodriguez said he hoped to make the trip in some capacity. He could assume another coaching position with the team should he not be offered the job full-time.
Florida will be the home team in San Juan, and the club is going to the island as part of an MLB initiative to expand the game globally. In 2012, the Marlins will move into a retractable-roof ballpark in the Little Havana section of Miami. The organization feels it should be a popular team in Latin America, and it's hoping these three games helps generate some fan support in Puerto Rico and may encourage them to attend games at Miami's new ballpark in 2012.
Rodriguez said he doesn't know if he will get a formal interview for the full-time job.
"I talked with them two days ago in Baltimore," he said. "They asked me questions on what I think the team needs to do. As for a formal interview, I don't know if it's going to happen."
If Rodriguez does manage the three games in Puerto Rico, the Marlins might make an official announcement regarding their manager on July 1, an off-day before the team goes to Atlanta on July 2.
For many of the current players, this is the second managerial change they've experienced. After the 2006 season, Joe Girardi was let go and replaced by Gonzalez.
"It's definitely different. But you see some of your friends, peers, teammates being traded or sent out, your heart gets a little stronger as the years go on," outfielder Cody Ross said. "I think back to '06, when everything went down with Joe -- a lot of us in here were really emotional. We didn't know what to think about it, because we had never been in that situation before.
"It's a little different now. We understand the whole business side of the game now. It doesn't mean that we didn't love Fredi. He's a great manager and great man. We definitely will miss him. At the same time, the show must go on, and we need to continue to do our jobs, no matter who they put in there."