Dutch outlet 1908.NL report that Jacobs, 29, is in line to join Feyenoord after the club “simply managed to enter the negotiation process with more conviction and a better plan” than City.
The report claims Rangers did not have to be approached before talks due to the notice period clause in his Ibrox terms.
Jacobs was a top priority for Feyenoord after a selection committee identified the coach.
Jacobs, who was previously Head of Development at Royal Antwerp, revealed earlier this year some of the unusual methods he has been using at Auchenhowie.
He said: “We sometimes train barefoot.
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“We speak about being innovative as one of our key pillars and take learning as a starting point, not football.
“What we know from a skill development perspective is that feet have millions of sensitive neurones and receptors.
“The amount of touches is much more sensible without boots, than with boots. Secondly from an injury prediction perspective, it’s just really healthy to play and walk on your bare feet.
“From a technical perspective to play and master the ball, and secondly from a movement perspective, we know from research there’s a massive benefit on learning.
“We come up with crazy ideas but we believe we need to think outside the box. If we want to become a producing academy, what we believe we can be, we need to make sure we keep challenging the staff in different things.
“And make this club and academy a producing one across Scotland and Europe because we have the best young talent, and the best programme, in Scotland.”