I starten af [[Football League Championship 2014-15|2014-15-sæsonen]] skrev Joronen under på en toårig kontrakt med Fulham F.C., hvormed parterne havde papir på hinanden frem til 2016.<ref>{{cite news |title=New Deal For Jesse |url=http://www.fulhamfc.com/news/2014/july/07/new-deal-for-jesse |publisher=Fulham F.C. |date=7. juli 2014 |access-date=27. december 2014 |archive-date=27. december 2014 |url-status=dead |archive-url=https://web.archive.org/web/20141227172903/http://www.fulhamfc.com/news/2014/july/07/new-deal-for-jesse }}</ref> Han fik sin debut for Fulham i sæsonsåbningskampen i [[Football League Championship]] i en kamp mod [[Ipswich Town F.C.|Ipswich Town]] den 9. august 2014.<ref>{{cite news|url=https://www.bbc.co.uk/sport/0/football/28646535|title=Ipswich Town 2–1 Fulham|publisher=BBC Sport|date=9. august 2014|access-date=21. november 2014|archive-date=19. december 2014|archive-url=https://web.archive.org/web/20141219122705/http://www.bbc.co.uk/sport/0/football/28646535|url-status=live}}</ref> Efter at have spillet tre kampe mere mistede han sin plads i førsteholdstruppen til fordel for [[Marcus Bettinelli]] samt den nyindkøbte målmand [[Gábor Király]].<ref>{{cite news|title=Fulham boss admits the club refused to buy a top keeper|url=http://www.getwestlondon.co.uk/sport/football/transfer-news/fulham-boss-admits-club-refused-7707322|publisher=Get West London|date=1. september 2014|access-date=21. oktober 2017|archive-date=21. oktober 2017|archive-url=https://web.archive.org/web/20171021190153/http://www.getwestlondon.co.uk/sport/football/transfer-news/fulham-boss-admits-club-refused-7707322|url-status=live}}</ref>
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