Naismith, who was born in Glasgow, often assists homeless centers in Merseyside and Scotland and sponsored a Christmas dinner at a local shelter last year.
"I come from Ayrshire in the west of Scotland and spent a lot of my life in Glasgow – a city that, at times, has suffered from high unemployment," Naismith told reporters. "Liverpool has a similar history and I am aware that, through no fault of their own, there are many unemployed in Liverpool trying hard to find a job who may not be able to afford a ticket. I thought this might be a small gesture to help those in that situation to enjoy a day out at one of our league matches. Hopefully it can bring some joy to many people.
"I have asked the Jobcentre Plus if they could give the tickets to different job centres across the city each week and select people who are unemployed through no fault of their own, are trying hard to find employment and who would enjoy watching a Premier League match."
Naismith admits he is aware of his own good fortunes and is glad to be in a position where he can help those less fortunate than himself.
"Every day I feel very fortunate for the opportunities and lifestyle my job as a footballer has afforded my family and me and also to be in the position where I can help the community in some small way," he added.
Naismith scored nine goals in all competitions for Everton in 2013-14.