Drewe Broughton, Ryan Taylor, Mark Hudson and several other men were all suffering with ill health and Robins said: "They still managed to play and that showed great spirit."
He continued: "Getting back to winning ways was timely and just what we needed and there was just a little concern before the Accrington game about the consequences if we didn't start putting some results together.
"So, the three wins on the bounce were just what were ordered and there's the bonus of actually seeing some effect in the league table.
"We'd had a run of not winning but a tough schedule had probably taken a toll but we have kicked on again with these results over Christmas. We've won two away games and the other one at home when playing with 10 men for 70 minutes.
"The players have certainly grafted hard in those games and we can start to look upwards again."
The Millers face Dagenham at home this coming Saturday, with both Robins and Daggers boss John Still nominated for League Two manager of the month to be announced on New Year's Day.