The Manchester United defender sparked fears he could be set for another spell on the sidelines when he sat on the ground and grabbed the back of his leg during Cote d'Ivoire's 1-1 draw with Belgium on Friday (AEST).
Bailly was withdrawn in the 70th minute as his country ended Belgium's run of 12 straight wins.
However, the 26-year-old stressed there was no major issue.
"Thanks for worrying about me," he wrote on Instagram.
"But I feel perfectly fine, just fatigue."
Bailly may therefore be involved against Japan on Wednesday (AEST) before returning to United, which next faces a trip to Newcastle United on 18 October (AEST).
The centre-back has been hampered by injuries throughout his time at United, with long stints out because of ankle and knee issues in recent years.
He made only one Premier League start in 2019-2020, but last month United boss Ole Gunnar Solskjaer suggested Bailly would have a much bigger role to play this term.
Bailly was selected in the starting line-up before the international break when United suffered a 6-1 loss to Tottenham Hotspur at Old Trafford.