Under a program made public earlier this year by President Vladimir Putin, ethnic Russians who would agree to migrate to Russia would receive cash, social benefits, and assistance in applying for citizenship.
The plan aims at stemming Russia's alarming population decline.
More than 45 percent of Kazakhstan's 15.4 million population is made of non-ethnic Kazakhs, of which Russians account for nearly one-third.
Akhmetov today said Kazakhstan, whose blooming economy has been attracting many workers from neighboring Central Asian countries, has shown a positive migration rate in the past two years. But he said Russia's plans may reverse that trend.