Our almost 2 years old toddler loves oignons accompagnying pickled gherkins. Unfortunately, trying to pick one by herself, she spilled all the pickle from a brand new (commercial, pasteurized) jar. I guess the lack of pickle will affect the gherkins conservation : how long will they remain edible (kept in the fridge) ? Still a few weeks, or rather a few days ?
You might see some loss of quality within a couple of months, but under refrigeration they will not become close to "unsafe" in that length of time. They're already "pickled", the worst you will face is dried out pickles. You can always add more "pickle" in the form of vinegar, salt, sugar and water (boiled and cooled), but it seems pretty unnecessary - two potato salads and you're done with them.