[6][7] He made his Brighton debut on 24 August, playing 80 minutes of the 3–0 away win over League One side Forest Green Rovers in the EFL Cup second round, where he claimed assist to Steven Alzate's long range goal.

[8] Enciso made his Premier League debut on 29 October, coming on as a 65th minute substitute for Adam Lallana in Brighton’s 4–1 home win over Chelsea.

[11][12] Enciso started in the FA Cup semi-final at Wembley on 23 April, playing 67 minutes as Brighton eventually lost 7-6 on penalties to Manchester United.

[20] On 19 August 2023, Enciso notably set up both of Solly March's goals in a 4–1 away win at Wolverhampton Wanderers, Brighton's second match of the 2023–24 season.

[21][22] However, the following week, the striker suffered a knee issue and was subsequently ruled out for "a long period", according to manager Roberto De Zerbi.

[23][24] On 23 January 2025, Enciso joined fellow Premier League club Ipswich Town on loan for the remainder of the 2024–25 season.

[29] In another interview, Enciso mentioned that he drew inspiration from his compatriot Óscar Cardozo, with whom he shared a team at Club Libertad.