High costs combined with falling ticket sales and TV viewership have dented returns, according to officials, who are due to meet later this week to discuss the future of the race.
"The locals are not buying the tickets to watch F1," Razlan Razali, the chief executive of Sepang International Circuit (SIC) where the races are held told AFP.
"If there is no economic value, why should we continue. We better take a temporary break."
Hosting F1 was "very expensive... It runs into millions of dollars," he added.
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In comments on Twitter earlier, Sports Minister Khairy Jamaluddin said competition from other venues outside of Malaysia was also taking its toll and the number of foreign tourists attending the race was dwindling.
"When we first hosted the F1 it was a big deal. First in Asia outside Japan. Now so many venues. No first mover advantage. Not a novelty."
"I think we should stop hosting the F1. At least for a while. Cost too high, returns limited."
Malaysia's Sepang International Circuit hosted its first Grand Prix in 1999, making it one of the oldest in the region.
State energy firm Petronas, which is the title sponsor and backs the championship leading Mercedes team, has been badly hit financially due to volatile oil prices, which along with other commodities have also battered Malaysia's growth prospects.