The draft was registered on Monday and the corresponding document was published on the website of the Ukrainian Parliament.
"The size of the Ukrainian Armed Forces in emergencies shall grow by the number of servicemen recruited for military service consistent with the mobilization decrees of the Ukrainian president," it said.
The funds for an increase in the Ukrainian Armed Forces are provided for by the budget of 2015.
This comes a week after President Petro Poroshenko said that the new Minsk agreements on regulating the crisis in eastern Ukraine give hope, but he is unsure whether they will be fully implemented.
The Ukrainian leader expressed hope that the situation will de-escalate, and peace will be achieved through ceasefire and withdrawal of artillery.
In early January, the Minister of Defense of Ukraine Stepan Poltorak said that the state budget for 2015 will provide military funding at the amount of 44.6 billion UAH ($1.6 billion USD).
"It is almost 3.6 times more than the last year," Poltorak said.
A similar bill was introduced the Prime Minister of Ukraine Arseniy Yatsenyuk on behalf of the government in January. According to him, the total financing for national security and defense in 2015 will total 90 billion UAH ($3.2 billion USD).