Negotiating notice periods in the UK – any advice?

I’m a social media manager and essentially a one-person department at a global luxury sports brand. The team itself is small, and while I genuinely like my colleagues (and get on really well with my Creative Director), the role has been quite intense. There’s a high turnover, a lot of burnout, and my commute is just under 2 hours each way, 5 days a week.

Because it’s social media, I’m often working weekends, evenings, bank holidays, and even during annual leave as nobody can cover me. We don’t get time off in lieu or overtime pay, which has made things quite unsustainable.

I’ve recently been offered a role that I can’t turn down, it’s hybrid, much closer to home, comes with a £15k pay rise, a proper social team, and better overall benefits. I wasn’t actively job hunting; I was approached, but it made me realise how unhappy I’ve been.

The issue is my contract states a 2-month notice period, which feels quite long given I haven’t even been there a year. What’s making it more difficult is that the next couple of months are expected to be extremely intense, we’ve already been told we won’t be able to take time off, will need to be on call 24/7, and may have to travel abroad for high-pressure shoots.

I’m quite anxious about handing in my notice, but I’d really like to negotiate it down to 1 month (or even 6 weeks). Especially as most others in the company seem to have a 1-month notice period.

I want to leave on good terms and not come across negatively, so I’d be happy to help with hiring or handover if they’re open to shortening it. However, given how stretched the team is, I’m worried they’ll insist I work the full notice.

Has anyone been in a similar situation? Is it realistic to negotiate a shorter notice period even after signing a contract? And do you have any tips for approaching that conversation?

Thanks so much in advance.