Smith made 22 from 12 balls on his T20 international debut in Saturday’s two-wicket defeat in the second match of the series.
He had come into the England side for all-rounder Jacob Bethell, who missed out through illness but was well enough to train on Monday.
England are 2-0 down in the five-match series.
“You’ve got to believe, haven’t you?” said England fast bowler Mark Wood.
“It’s no good sitting there saying ‘that’s it’. There are three games to play, three chances of a win.”
Wood, 35, has played in both matches of the series so far after being sidelined since August with a stress fracture in his elbow.
In the 5.5 overs he has bowled across the series, Wood has taken one wicket and leaked runs at an economy of 8.83 per over.
“I’ve felt a little bit ‘hitty-missy’,” he said. “I’ve done a couple of good things, it’s great that my pace is up there, but maybe my accuracy at time hasn’t been quite where I wanted it.
“When I haven’t played since August, that’s pretty much expected. Hopefully the more I play, the better I get.”