Defenders Alan Tate and Garry Monk believe Swansea's play-off heroes can finally step out of the shadow of John Toshack's 1981 side.
Swansea secured a Premier League spot with a 4-2 victory over Reading in the Championship play-off final.
That marked a return to English football's top flight for the first time since the 1980s.
"We've been in the shadows of the '81 group for years and to come out of that is brilliant," said Tate.
"If you've been at the club a long time like me, Garry [Monk] and Leon [Britton] it means a lot because we've had that drilled into us."
Swansea spent two seasons in the old First Division between 1981 and 1983 during Toshack's time at the helm.
Fellow defender and captain Garry Monk said the side was aware they were on the verge of creating history prior to the Reading game.
"We wanted to make our own history and the gaffer [Brendan] Rodgers said that as well before we went out," said Monk.
"To know that we've done that and we'll forever be in the history of this club means more than we can put in words."
Swans manager Brendan Rodgers has spoken of the need to strengthen the squad during the summer.
And he warned there will be no room for sentiment when he prepares for his side's first season in the Premier League.
Tate, who played for the Swans during their days in League Two, acknowledges there will be changes.
"I think it's inevitable," said Tate. "It doesn't matter what league you are in, new faces come in every year.
"It's not a case of the squad getting dismantled, it's just a normal pre season. People come, people go.
"If you improve with the club like me, Garry and Leon have done over the years then you stand a good chance of still being around.
"That's what it's about. You've got to improve as the club improve or your time's gone."