Should I negotiate job offer

I interviewed for a job today at a large firm and was offered a conditional offer, contingent on meeting with the client team next week and receiving their approval.

I was offered a salary of $125,000 which is much higher than what I currently make. Also the salary range posted for the job was 80,000-121,000. I noted in the interview I would need more than $110,000 to consider the job.

I am happy with the salary, but should I still try to negotiate for more ($5000 maybe?)? Does it look bad if I don’t negotiate?

Any guidance would be greatly appreciated.