Friday night's 1-0 win against Championship rivals Ipswich Town has put the Reds into the last 16 of the famous competition for the first time in 29 years, and the sixth occasion in the club's history.
Wrexham went on to reach the quarter-finals on that occasion in the 1996-97 campaign.
The Reds last faced Chelsea in the old second division in the 1981-82 campaign.
The clubs also met in the FA Cup that season with Chelsea, who are currently fifth in the top-flight, progressing.
All matches will be played around the weekend of Saturday March 7.
Unlike in previous years, there are no replays if matches end as a draw. All ties will go to extra time, and if necessary, a penalty shootout.