Speaking to Hina, he said that given the farmers' financial situation and the fact that such a journey would be expensive, it was unlikely that many farmers from eastern Croatia would head for the capital.
He said disgruntled farmers from the counties closer to Zagreb could do that.
Laslo said some farmers had withdrawn their tractors from the Djakovo ring-road, with only a dozen remaining.
He said the farmers who had been blocking roads for 11 days had become nervous and afraid because of possible fines for the road blocks, which had prompted some to withdraw from the protest locations.
Asked if the disgruntled farmers would continue to protest, Laslo said it was "a matter of agreement" and that the protest was expected to last until Monday.
Croatian Agriculture Chamber president Mato Brlosic told Hina the prime minister had not responded to the farmers' demand for a meeting, which he said was unfair.
Osijek-Baranja County police said two roads in the county remained blocked and that there were no reports about tractors heading for Zagreb.