Jackson was reportedly fined for statements he made during a press conference last week about the possibility of hiring Fisher as the Knicks coach.
The NBA fined Jackson, in part, to reinforce its annual reminder to teams about its anti-tampering rules. Teams are not permitted to directly or indirectly express interest in other teams' looming free agents.
ESPN.com also reported that Jackson's first substantive talk with Fisher about the Knicks' job is scheduled to take place this week.
Sources told ESPN.com that Jackson is planning to connect with Fisher by week's end, giving Fisher some time after the Thunder were eliminated by the San Antonio Spurs on Saturday night in Game 6 of the Western Conference finals.
Fisher said earlier that he wants to someday coach in the NBA. He helped the Los Angeles Lakers win five NBA titles in the 2000s when Jackson coached the team.
Fisher ran Jackson's triangle offense as the Lakers' point guard. He has not officially retired but has hinted this could be his final season playing with the Thunder.
Jackson would prefer to hire one of his former players who knows his offense.