diff --git a/NEWS.md b/NEWS.md
index f25d3eec68..6f3138180f 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -92,6 +92,8 @@
 17. Internal-only `.shallow` now retains keys correctly, [#2336](https://github.com/Rdatatable/data.table/issues/2336). Thanks to @MarkusBonsch for reporting, fixing ([PR #2337](https://github.com/Rdatatable/data.table/pull/2337)) and adding 37 tests. This much advances the journey towards exporting `shallow()`, [#2323](https://github.com/Rdatatable/data.table/issues/2323).
 
 18. `isoweek` calculation is correct regardless of local timezone setting (`Sys.timezone()`), [#2407](https://github.com/Rdatatable/data.table/issues/2407). Thanks to @MoebiusAV and @SimonCoulombe for reporting and @MichaelChirico for fixing.
+
+19. fixed `as.xts.data.table` to support all xts supported time based index clasess [#2408](https://github.com/Rdatatable/data.table/issues/2408). Thanks to @ebs238 for reporting and for the PR.
     
 #### NOTES
 
diff --git a/R/xts.R b/R/xts.R
index d60840ebb4..60d27086b6 100644
--- a/R/xts.R
+++ b/R/xts.R
@@ -9,9 +9,9 @@ as.data.table.xts <- function(x, keep.rownames = TRUE, ...) {
 
 as.xts.data.table <- function(x, ...) {
   stopifnot(requireNamespace("xts"), !missing(x), is.data.table(x))
-  if (!any((index_class <- class(x[[1L]])) %in% c("POSIXct","Date"))) stop("data.table must have a POSIXct, Date or IDate column on first position, use `setcolorder` function.")
+  if (!xts::is.timeBased(x[[1L]])) stop("data.table must have a time based column in first position, use `setcolorder` function to change the order, or see ?timeBased for supported types")
   colsNumeric = vapply_1b(x, is.numeric)[-1L] # exclude first col, xts index
-  if (any(!colsNumeric)) warning(paste("Following columns are not numeric and will be omitted:", paste(names(colsNumeric)[!colsNumeric], collapse=", ")))
-  r = setDF(x[, .SD, .SDcols=names(colsNumeric)[colsNumeric]])
-  xts::as.xts(r, order.by=if ("IDate" %in% index_class) as.Date(x[[1L]]) else x[[1L]])
+  if (any(!colsNumeric)) warning(paste("Following columns are not numeric and will be omitted:", paste(names(colsNumeric)[!colsNumeric], collapse = ", ")))
+  r = setDF(x[, .SD, .SDcols = names(colsNumeric)[colsNumeric]])
+  return(xts::as.xts(r, order.by = if ("IDate" %in% class(x[[1L]])) as.Date(x[[1L]]) else x[[1L]]))
 }
diff --git a/inst/tests/tests.Rraw b/inst/tests/tests.Rraw
index 8b365c0e70..8a15981df6 100644
--- a/inst/tests/tests.Rraw
+++ b/inst/tests/tests.Rraw
@@ -6190,6 +6190,21 @@ if ("package:xts" %in% search()) {
     xt_dt = as.xts.data.table(dt)
     test(1465.3, all.equal(dt, dt_xt, check.attributes = FALSE))
     test(1465.4, xt, xt_dt)
+    # index types returned from to.period
+    dt = data.table(index = as.Date((as.Date("2014-12-12") - 729):as.Date("2014-12-12"), origin = "1970-01-01"), quantity = as.numeric(rep(c(1:5), 73)), value = rep(c(1:73) * 100, 5))
+    xt = as.xts(matrix(data = c(dt$quantity, dt$value), ncol = 2, dimnames = list(NULL, c("quantity", "value"))), order.by = dt$index)
+    xt_w = xts::to.weekly(xt)
+    xt_dt_xt_w = as.xts.data.table(as.data.table(xt_w))
+    xt_m = xts::to.monthly(xt)
+    xt_dt_xt_m = as.xts.data.table(as.data.table(xt_m))
+    xt_q = xts::to.quarterly(xt)
+    xt_dt_xt_q = as.xts.data.table(as.data.table(xt_q))
+    xt_y = xts::to.yearly(xt)
+    xt_dt_xt_y = as.xts.data.table(as.data.table(xt_y))
+    test(1465.5, all.equal(xt_w, xt_dt_xt_w, check.attributes = FALSE))
+    test(1465.6, all.equal(xt_m, xt_dt_xt_m, check.attributes = FALSE))
+    test(1465.7, all.equal(xt_q, xt_dt_xt_q, check.attributes = FALSE))
+    test(1465.8, all.equal(xt_y, xt_dt_xt_y, check.attributes = FALSE))
 }
 
 # as.data.table.default #969