Tyson, 39, has joined the Reds on loan for one month to get some minutes under his belt.
The forward has made just one start for Chesterfield this season.
He made his Alfreton debut in the 1-0 home defeat to Blyth Spartans on Saturday, playing 74 minutes.
Assessing Tyson’s performance, Heath said: “He did okay.
"It is just about trying to get him up to speed because he has not played a lot of football and we knew that.
"He will have an impact for us, we have got him for a month to get him to where we want to get him, it is just he has not played for a while.
"Defensively he has done a lot of work today and he has done that stoutly.
"We have seen glimpses of his pace and he delivered a great ball into the box where probably we could have done better.
“We knew he wasn’t going to come in and ‘bang’ because he just needs to get up to speed.”
As well as Tyson, it is thought midfielder Jak McCourt and striker Stefan Payne have been made available for loan.
“We need to get a small group of players, who have not been having sufficient minutes, out on loan so that when they come back they can have an impact on the end of the season,” Spireites boss James Rowe told the DT.