www.gloucesterrugbyclub.com Melville said: "The win over Bath gave everyone a huge lift, which has been reflected in the mood around the place this week. But we're well aware that one win doesn't make a season, and if it's not followed up with points away at Newcastle on Sunday then the momentum and advantage is lost."
Gloucester's win over Bath put the disappointing loss away at Quins at the beginning of February behind them.
"We've had the loss against Quins followed by last Saturday's victory against Bath. We know how easily it can all change, which is why it's so important we focus on the one fixture and getting both our game and our mental approach correct.
"The win over Bath was good and a win on Sunday will put us right back up there, with plenty of rugby still to be played, as a lot of the clubs in the top half still have to play each other."
Melville and coach Dean Ryan have a number of decisions to make with regards to team selection.
Phil Vickery went off with a broken arm last Saturday, and more than likely would have been involved with England anyway.
Summer signing Gary Powell has missed the last eight weeks with ankle ligament damage, but is back in full training and available for Sunday's clash.
"Gary Powell's return is timely! It's a big boost, as we need a specialist tight head prop. He's had an extra week after missing the Bath game and he'll be fresh for this weekend, as he's been working hard in recent weeks," said Melville.
James Simpson-Daniel played in the centre against Bath on Saturday, and Melville added: "I think the Bath game was a step forward for Sinbad (James Simpson-Daniel), and playing at outside centre has given him a new focus. There's a challenge in front of him now. He'll see more of the ball, which is good news for us and more exciting for the fans."
The Club had a big boost this week when Alex Brown signed a new contract, and the Gloucester boss was pleased to know the 25 year-old will be at Kingsholm for the next three seasons.
"A lot of teams were after Alex. It took a lot to get him from Bristol in the first place as he's a loyal individual. There were a few offers for him, but he chose to stay, which is great news."
Melville and his team are expecting nothing but a backlash from the Falcons after their defeat to Leicester last week.
"It wasn't a good result for them, but they won't play like that again. We know they'll be out to impress after the Leicester result, especially in front of their home crowd."