The American data-analyst worked closely with Tony Khan on refining the data system for Mr Khan's analytics company TruMedia and played an important role in the signing of new players at the club based on the 'two-tick' policy.
Any new player at the club had to tick the boxes of both Kline's data model and the scouting department, led by ex-Fulham man Brian Talbot who also reports directly to Mr Khan.
However, Kline has now left the club and a Fulham spokesperson confirmed to GetWestLondon that James Lovell will now serve as the interim data analyst, but who exactly is he?
Here is all you need to know.
James Lovell - interim data analyst
Lovell has been at the club since 2011, serving as the first team performance analyst at Motspur Park.
However, for the past three seasons he's been an integral part of the first team performance department.
Although working heavily in pre-game, in-game and post match analysis delivery for the first team, Lovell has been involved in the development and use of data in the club's scouting process to help identify players of interest and influence the scouting process at the club.
He has been heavily involved with the club on a number of levels - ranging from analysis of data to helping managing teams of interns so that Fulham continue to have a wealth of analysts across the club.
Before working with the Cottagers, Lovell was a performance analysts at Wolves for three years and helped to create an analysis support department at the Molineux outfit as part of the 2008/09 Championship winning side.
As part of his work at the club, Lovell upgraded and improved the club's analysis systems to ensure they were at the level required of a Premier League club, making sure both the reserves and academy games were also covered.
Lovell has also worked at QPR from 2006-07 as a match analyst at the west London club, where he analysed and gathered statistical data on team and player performance.
He also holds a Master's Degree in Sports Science from Brighton University.