Upvote:0
Any breakage or damage of your passport could be an issue, and should trigger replacement. Except for countries where 20 USD tucked in to the passport takes cares of those problems.
I once had a passport where the glue for the first cover page was not properly laminated during the production process. Didn't have an issue traveling with it for years. The one day a ambitions immigration officer in Indonesia pointed out the defect. Luckily, a "on-the-spot fee" sorted this issue. But it just goes to show that if you fly half way around the world, you don't want to risk failing immigration.
Upvote:8
As a general rule of thumb for travel, damaged passports should be replaced. And sooner is better than later.
Actual rules vary from country to country, but a damaged passport can lead to delays at immigration or even outright denials.
And with your particular damage, when you consider that the chip is in the cover and your photo details are inside, having a cover that has been reattached adds suspicion if it contains the original chip issued to you.