The championship will be played at Royal Birkdale this year before returning to St Andrews in 2027.
R&A chief executive Mark Darbon said Turnberry remains under consideration but faces logistical challenges.
"The challenge at Turnberry is a logistical challenge. You see the scale of a modern Open championship - the road, rail and accommodation network around that venue is challenging to deliver what we now deliver. We've got a good dialogue with the venue, we're open-minded, we'll maintain that dialogue and see where we get."
Muirfield has also been left out of the immediate rotation, despite allowing female members since 2017. It last hosted The Open in 2013, when Phil Mickelson won the Claret Jug. A return is unlikely before 2031.
The 2028 Open, scheduled for August 3-6, will be the first at Royal Lytham since 2012, when Ernie Els claimed his second title.
Darbon said: "Royal Lytham & St Annes is widely renowned as one of the world's finest links courses and has witnessed many great championship moments since The Open was first played there in 1926 when the legendary Bobby Jones won. This is one of golf's most cherished and historic venues and The Open's return to these famous links will spark huge interest among fans to be part of one of the world's great sporting events and celebrate the rich traditions of golf's original Championship."
The R&A confirmed the move to August in 2028 is to avoid a clash with the Olympic Games in Los Angeles.
Scottie Scheffler is the reigning champion after winning the 153rd Open at Royal Portrush in 2025.
After securing his fourth major title with a commanding win at the 2025 Open Championship, Scottie Scheffler was once again faced with comparisons to Tiger Woods - but the World No 1 was quick to play down any parallels.
Scottie Scheffler's rivals could do nothing but marvel at his incredible performance after the American soared to a four-shot victory at the Open Championship.
Rory McIlroy may have fallen short of winning the Open Championship in front of his home crowd, but he was full of gratitude and emotion for the unwavering support he received.
World Number One Scottie Scheffler strolled to a four-shot victory to secure the 153rd Open title at Royal Portrush on Sunday.
