Ings, who is currently the country's joint-top scorer in all competitions, was rewarded with his first call-up to the Under-21 squad earlier this month.
He made his debut in last Friday's win over San Marino but was forced to miss Tuesday's win over Lithuania with a slight knock.
The 21-year-old admits it was a great experience to make his debut for the young England side and is focused on building on his fine start to the season to ensure he remains in Southgate's long-term plans.
"I was gutted to miss Tuesday's game against Lithuania after making my debut against San Marino," Ings told Sky Sports.
"I had a slight knock and it was best that I did not take any risks with it.
"It was a great experience for me to go away on international duty and train and play with some of the best young players in the country.
"It was a very proud moment for me to make my debut for my country and I want to experience that again.
"I will keep my head down and get back to doing my best for Burnley and hopefully that will be enough for me to be in the squad for the next game for the Under 21s."