Despite going into the match as red-hot favourites, the Red Rose failed to register a try and came under immense pressure in the second half as they held on to clinch a 18-11 win.
However, Robshaw is keen to focus on the positives after maintaining their unbeaten run in the Six Nations.
Asked if it was disappointing not to have won by a more comfortable margin, Robshaw said: "Of course it was, but it was important to get a win. We were under no illusion about how hard it would be, especially after how hard it was in Rome last year (a 19-15 win for England).
"We weren't great today but it's a win at the end of the day. There were moments when we played very well and the attack was flowing but the final bit of execution let us down.
"There's a lot of work to do going into Wales next week."
England travel to Cardiff to face Wales in the title showdown on Saturday.