jforet1

$username = "replaceme@contoso.com"
Connect-ExchangeOnline -UserPrincipalName $username

$mailboxes = Get-Mailbox -ResultSize:unlimited -Filter "RecipientTypeDetails -eq 'UserMailbox'"

$mailboxes | ForEach-Object {
    $connectionstatus = Get-PSSession | Where-Object {$_.ConfigurationName -like "Microsoft.Exchange"}
    if ($connectionstatus.State -ne "Opened") {
        Connect-ExchangeOnline -UserPrincipalName $username
    }