Given the Ladbrokes Premiership is suspended in Scotland, many clubs are struggling financially.
And Naismith, who is one of the highest earners at the club, is willing to cut his pay by 50 per cent to help.
The 33-year-old has a contract until 2023 with Hearts.
"The current circumstances put everyone in a very difficult position, but this isn't a problem of Hearts' making," Naismith said in a statement.
"My family and I feel that, through a long career, football has been very good to us. Therefore, I personally feel that I can and should accept the 50 per cent reduction in wages.
"I hope this can contribute in some way to the long-term survival of the club at a challenging time and save jobs, especially those that are the lowest earners and hence those who will be struggling the most at this time.
"I know every one of my team-mates have unique circumstances with their finances, homes and families. I can assure everyone they are all doing what they can."
"As captain of Hearts, I will fully support my team-mates, whatever decision each of them makes on this matter," he continued.
"I am making a commitment to stay at Hearts, regardless of which league the club is in, next season and look forward to continuing to lead as captain. I consider it an honour to represent Hearts."