Little scored Reign's opening two goals, the first from the penalty spot, as they beat Boston Breakers 3-0 at home in their opening National Women's Soccer League match.
"I can say 'I told you so'," Harvey said, when asked about Little's player-of-the-match performance. "She only landed here on a plane from Bosnia [after Scotland's World Cup qualifier] 24 hours before the match. I can tell you now, you've seen nothing yet. Kim is a goalscorer and a winner and there's a lot more to come."
Jess Fishlock, the former Glasgow City midfielder, also played in the win, which put Seattle top of the NWSL.