I think what you want is multiple alert notifications. LM will not open multiple alerts about the same issue, but it can send multiple alert notifications, even to a ticketing system.
IIRC: there are some requests in the product backlog around having instance count for recurring alerts, but that won't help you right now.
You would want to do something like this with escalation chains, but @Vitor Santos is right. The alert workflow isn't designed to open a new alert unless the previous one has been cleared.
Assuming you've setup an integration to your ticketing system and added that ticketing system to an escalation chain: the first thing you'd do is setup an alert rule that would match on the particular alert you want to be sent to your ticketing system. Set that alert rule with an escalation interval of 1 and let your ticketing system be in the only stage for the escalation chain.
This is how it would play out:
at 11:00, the threshold is crossed and the alert is opened. The alert rule matches and immediately sends the alert data to the escalation chain first stage (which includes the ticketing system).
at 11:01, since the alert has not been cleared, the alert rule escalation interval of 1 dictates that the alert data be sent to the escalation chain next stage. Since there's only one stage in the escalation chain, the alert data would be sent to that escalation chain (including the ticketing system) again.
at 11:02, the same thing that happened at 11:01 would happen.
at 11:03, it would repeat
at 11:04, it would repeat
and so on until the alert clears or you reach the escalation chain's rate limit.