Readiness Probes for Prometheus and Prometheus Adapter got unhealth after upgrading form OCP 4.10.17 to 4.10.25, future upgrade to 4.10.36 didn't changed the behaviour.

OpenShift Container Platform 4.10.36

Not reproducible on other cluster

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2h59m      Warning  ProbeError  pod/prometheus-adapter-6dbcc5fdc5-mpb6h  Liveness probe error: Get "https://10.253.16.45:6443/livez": net/http: request canceled while waiting for connection (Client.Timeout exceeded while awaiting headers)
                                                                         body:
2h59m      Warning  Unhealthy   pod/prometheus-adapter-6dbcc5fdc5-mpb6h  Liveness probe failed: Get "https://10.253.16.45:6443/livez": net/http: request canceled while waiting for connection (Client.Timeout exceeded while awaiting headers)
2h40m      Warning  ProbeError  pod/prometheus-adapter-6dbcc5fdc5-mpb6h  Readiness probe error: Get "https://10.253.16.45:6443/readyz": net/http: request canceled (Client.Timeout exceeded while awaiting headers)
                                                                         body:
2h40m      Warning  Unhealthy   pod/prometheus-adapter-6dbcc5fdc5-mpb6h  Readiness probe failed: Get "https://10.253.16.45:6443/readyz": net/http: request canceled (Client.Timeout exceeded while awaiting headers)
4m20s      Warning  Unhealthy   pod/prometheus-k8s-0                     Readiness probe failed: command timed out
4m21s      Warning  Unhealthy   pod/prometheus-k8s-1                     Readiness probe failed: command timed out

no issues running readiness and liveness probes

must-gather and sosreports attached to support case