The Tigers have played three of the top four teams, and with coach Terry Wallace in the final year of his current five-year deal, pressure is mounting on Richmond.
This Sunday the Tigers take on the similarly winless Demons at the MCG, which brings a different kind of pressure.
But Newman suggested that some perspective could be missing, given the season was just 21 days old.
"I guess everyone should just take a bit of a deep breath, and realise that we're only three rounds in. Let's not get too far ahead of ourselves," he told a packed media conference at Punt Rd on Wednesday morning.
"It's got a lot of attention.
"There's a lot of disappointed fans out there, and I can understand that – they've got every right to be disappointed."
Newman said claims that the coach was on 'death row' were ridiculous, but admitted it was difficult to shut them out.
"No, I don't think [coach Terry Wallace is on 'death row'].
"Those pressures – we're not really speaking about them internally.
"It's been a big frenzy and it's been pretty difficult to try and shut that out, with it being front page and back page news.
"But as I said, we're three rounds in – I don't want to get carried away, and I just think everyone should take a deep breath and just relax a little bit."
Newman said the players had not felt the need to circle the wagons around the coach.
"We're always going to be behind Plough (Wallace).
"No matter how much scrutiny he comes under, we're always behind him, we've always got faith in him.
"There's no panic, there's no storm internally – there's just no reason to rally around him. It's not a crisis."
The captain said he was preaching the same message inside the club.
"It's been difficult, there's no doubt.
"It's not easy if you've got this much scrutiny around you and there's so much attention on your football club and you hear your coach getting bashed and your players getting bashed in the media. It's difficult.
"But my role in the club is to just keep the players calm and let them know this is round three and we can fight through it."
