While the company did not release a figure, the United Kingdom press, including Reuters, reported up to 1,000 jobs would be shed and production would be cut at its Solihuall and Castle Bromwich plants.
While JLR has neither confirmed nor denied the job losses, a company spokesperson told the news site that the auto firm would be making "some adjustments" to its production schedules and the levels of agency staff.
He said: "JLR appears to be especially exposed as over 90 per cent of sales are diesel".
It said it was continuing to recruit large numbers of engineers and apprentices and it remained committed to its United Kingdom plants.
"We also remain committed to our United Kingdom plants in which we have invested more than £4bn since 2010 to future proof manufacturing technologies to deliver new models".
In a statement issued this afternoon, JLR said: "As is standard business practice, Jaguar Land Rover regularly reviews its production schedules to ensure market demand is balanced globally".
He pointed to extended stoppages earlier this year at JLR's Halewood and Castle Bromwich factories and argued that the company had been too slow to move with the huge shift towards hybrid and electric vehicles.
Sales of the Jaguar brand are reported to be down 26 per cent in 2018, with Land Rover suffering a 20 per cent drop.
'As an industry in which investment is heavily reliant on forward planning, industry bodies have been lobbying extensively for greater clarity around a Brexit trade deal.
Around 40,000 people are employed by JLR in the United Kingdom, including 10,000 at its Solihull plant.
In January, the firm said it would temporarily reduce production at its other British plant of Halewood later this year in response to weakening demand due to Brexit and tax hikes on diesel cars but did not detail any job losses.