The show will be televised on FOX network stations at 12:30 p.m. ET.
This is the second time Damon has hosted TWIB.
"It was fun," Damon said of the shooting with the MLB Productions crew. "It was mostly interviews, and that kind of stuff, with myself and my wife. They traveled with me in my car to the field. They're kicking off their new season and it's a good way to start it, I guess."
Damon has been one of the American League's elite leadoff hitters for years, and, last October, helped lead the Red Sox to their first World Series championship in 86 years.
As a young boy in Florida, Damon always looked forward to catching up on the latest news around baseball by watching TWIB, which was then hosted by the late, great Mel Allen.
"Yeah, it was something we always looked for," Damon said. "Every Saturday."
After winning the World Series, Damon had one of the most eventful offseasons imaginable. He got married, wrote a book, went to the White House to visit the President and served as an honorary Grand Marshall at the Daytona 500, among numerous other things.
Damon discusses all of that and more in this week's show, and even gives viewers exclusive video from his wedding.
This is issue No. 701 of TWIB. The "Beyond the Fence" features Red Sox diehard Ben Affleck, and TWIB goes behind the scenes of a Pepsi Go Pro commercial shoot with superstars Alex Rodriguez and Vladimir Guerrero.
There's a feature of about the Cubs and White Sox waiting for an all-Chicago World Series in "From The Vaults," and, per usual, the top moments of the week are featured in "How 'Bout That."
"This Week in Baseball" is the longest-running sports anthology series currently in production.
Ian Browne is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.