Reckord, a left-back by trade, will be spending 93 days with the Wiltshire club.
"The people who I've seen have been really welcoming and it's been a rush but I'm here now," the youngster told Swindon's official website.
"I found out they (Swindon) were interested so I just took the opportunity when I could and hopefully see what happens."
"I would like to play as many games as possible really, to build my confidence up."
The 21-year-old, a former England age-group international, has also enjoyed loan spells at Scunthorpe United, Plymouth Argyle and Coventry City.