However, subsequent reporting from Mundo Deportivo suggests the Dutch club have since distanced themselves from the move.
The 34-year-old German, currently on loan at Girona after losing his place to Joan García at Barcelona, suffered a hamstring injury in January that ended his loan spell prematurely. He has been absent since and his chances of making Germany's World Cup squad have been complicated significantly, with Oliver Baumann having established himself as Julian Nagelsmann's first choice during his absence.
Ter Stegen's loan to Girona ends in June. Barcelona have no intention of reinstating him as first-choice, with Hansi Flick having committed to García for the foreseeable future. His contract at the Camp Nou runs until 2028 and carries a substantial wage, which creates an obvious obstacle for any club considering a move.
The Ajax link carries a certain logic. Sporting director Jordi Cruyff worked alongside Ter Stegen during his time at Barcelona and knows the player well. Girona manager Michel, who has worked with the goalkeeper this season, has also been linked with the vacancy at the Johan Cruyff Arena. However, Mundo Deportivo reported on Saturday that Ajax are not in fact pursuing Ter Stegen and that the goalkeeper does not feature in the Dutch club's summer plans.
Barcelona are expected to look for a solution that allows Ter Stegen to continue playing regularly elsewhere while managing his salary off their books. Whether that constitutes another loan, this time to a more permanent landing spot, or an outright sale remains to be determined. Ter Stegen has indicated he is open to remaining at Girona beyond this season.
The goalkeeper won six La Liga titles, one Champions League and six Copa del Rey trophies during twelve years at the Camp Nou.