Tottenham Hotspur striker Harry Kane was handed the armband for the previous two 2018 World Cup qualifiers and he led England to successive 1-0 victories over Slovenia and Lithuania.
He scored both of those goals - his seventh international goal in his last six games - and many believe the 24-year-old is leading the race to become the next permanent captain for the Three Lions.
Southgate has passed the captaincy around over recent months with Liverpool midfielder Jordan Henderson and Chelsea defender Gary Cahill being handed the responsibility on numerous occasions.
The England boss has expressed his delight at the recent performances of Kane but there has been no progress made on who will be named full-time skipper for the World Cup in Russia.
"It's a fantastic record," Southgate said. "His finishing quality is top, as good as anyone I've played with or worked with. I'm never in doubt that, if he has a good opportunity, it'll be on target and there's a fair chance he scores. We're fortunate to have him.
"I couldn't be happier with the way he's led, both in terms of by example on the pitch with his performances, but also with the group. I know everyone wants me to get a shift on [and name the captain], but, again, I want to give myself time."