Let's look at why you get blocked on LinkedIn for sending "too many" connection requests. This isn't official information, but know-how from sufficient practice:
REASON #1
Less than 35% of users accept your connection request seven days after you sent it.
REASON #2
LinkedIn doesn't like you. More precisely, your Social Selling Index (= SSI) is too low.
SSI is that big number. Mine is 71. After a week of inactivity (no activity), it dropped by 4 points. You can measure your score here.
I wouldn't recommend sending more than 25 connection requests per week if your SSI is below 40.
If your score is between 40 and 60, it's still quite risky to send more than 50 requests per week.
And you may have heard from many people that it's okay to send up to 100 connection requests per week. THAT'S NOT ENTIRELY TRUE! This only applies if your SSI is higher than 60 and most people accept your request.
Otherwise, you will get blocked one way or another. Again, this isn't official information—unfortunately, there's no clear official article about these limits in numbers and scores.
Now we have official information from LinkedIn itself: Link to the official LinkedIn page.
Based on data from January 2021 to January 2024.
Our clients established a total of 466,258 new connections during the active collaboration period.
And this happened through 520 regularly managed profiles.
You should know you can observe: when you're blocked, you can observe when it happened and get an idea of where the limits might be.
And I would recommend you look for this limit—because several blocks could easily lead to a permanent restriction of your profile.
We can't really complain to LinkedIn about this approach. These rules help stop spam and keep communication here genuine and relevant. In conclusion, remember that those "cool" texts that many people send with connection requests often reduce their success rate.