diff --git a/freqtrade/exchange/exchange.py b/freqtrade/exchange/exchange.py
index b958d2f6b..a7f89b4b6 100644
--- a/freqtrade/exchange/exchange.py
+++ b/freqtrade/exchange/exchange.py
@@ -2211,8 +2211,8 @@ class Exchange:
                           cache: bool, drop_incomplete: bool) -> DataFrame:
            # keeping last candle time as last refreshed time of the pair
         if ticks and cache:
-            self._pairs_last_refresh_time[(
-                pair, timeframe, c_type)] = ticks[-1][0] // 1000
+            idx = -2 if drop_incomplete and len(ticks) > 1 else -1
+            self._pairs_last_refresh_time[(pair, timeframe, c_type)] = ticks[idx][0] // 1000
         # keeping parsed dataframe in cache
         ohlcv_df = ohlcv_to_dataframe(ticks, timeframe, pair=pair, fill_missing=True,
                                       drop_incomplete=drop_incomplete)