The Magpies are still languishing near the relegation places, but they are hoping to make it two wins out of two as they face Bournemouth at home.
They were impressive in the 3-2 win at West Ham last time around, and Bruce wants to continue that vein of form.
"The last few weeks have proved they have knuckled down and improved," Bruce told reporters.
"We've only showed signs and the one thing we've got to do now is keep it going.
"Back to back wins in the Premier League is huge so if we can we go and do it in front of our own supporters after away at West Ham would be nice.
"Everybody wants to go and applaud the away supporters because we can't take them for granted and West Ham was a good day but now we move on.
"I think supporters can see the direction we are trying to go into and pleasantly pleased with what they have seen, particularly last week."