diff --git a/DESCRIPTION b/DESCRIPTION
index 25a7bd6d3..87a18c742 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -98,5 +98,6 @@ Authors@R: c(
   person("Christian", "Wia",       role="ctb"),
   person("Elise", "Maigné",        role="ctb"),
   person("Vincent", "Rocher",      role="ctb"),
-  person("Vijay", "Lulla",         role="ctb")
+  person("Vijay", "Lulla",         role="ctb"),
+  person("Aljaž", "Sluga",         role="ctb")
   )
diff --git a/NEWS.md b/NEWS.md
index 92b4f9ee3..ea8f4c4df 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -65,6 +65,8 @@ rowwiseDT(
 
 4. `patterns()` in `melt()` combines correctly with user-defined `cols=`, which can be useful to specify a subset of columns to reshape without having to use a regex, for example `patterns("2", cols=c("y1", "y2"))` will only give `y2` even if there are other columns in the input matching `2`, [#6498](https://github.com/Rdatatable/data.table/issues/6498). Thanks to @hongyuanjia for the report, and to @tdhock for the PR.
 
+5. `setcolorder()` gains `skip_absent` to ignore unrecognized columns (i.e. columns included in `neworder` but not present in the data), [#6044,  #6068](https://github.com/Rdatatable/data.table/pull/6044). Default behavior (`skip_absent=FALSE`) remains unchanged, i.e. unrecognized columns result in an error. Thanks to @sluga for the suggestion and @sluga & @Nj221102 for the PRs.
+
 ## BUG FIXES
 
 1. `fwrite()` respects `dec=','` for timestamp columns (`POSIXct` or `nanotime`) with sub-second accuracy, [#6446](https://github.com/Rdatatable/data.table/issues/6446). Thanks @kav2k for pointing out the inconsistency and @MichaelChirico for the PR.
diff --git a/R/data.table.R b/R/data.table.R
index 62210bd83..8fcc0df1f 100644
--- a/R/data.table.R
+++ b/R/data.table.R
@@ -2736,7 +2736,7 @@ setnames = function(x,old,new,skip_absent=FALSE) {
   invisible(x)
 }
 
-setcolorder = function(x, neworder=key(x), before=NULL, after=NULL)  # before/after #4358
+setcolorder = function(x, neworder=key(x), before=NULL, after=NULL, skip_absent=FALSE)  # before/after #4358
 {
   if (is.character(neworder))
     check_duplicate_names(x)
@@ -2744,7 +2744,8 @@ setcolorder = function(x, neworder=key(x), before=NULL, after=NULL)  # before/af
     stopf("Provide either before= or after= but not both")
   if (length(before)>1L || length(after)>1L)
     stopf("before=/after= accept a single column name or number, not more than one")
-  neworder = colnamesInt(x, neworder, check_dups=FALSE)  # dups are now checked inside Csetcolorder below
+  neworder = colnamesInt(x, neworder, check_dups=FALSE, skip_absent=skip_absent)  # dups are now checked inside Csetcolorder below
+  neworder = neworder[neworder != 0] # tests 498.11, 498.13 fail w/o this
   if (length(before))
     neworder = c(setdiff(seq_len(colnamesInt(x, before) - 1L), neworder), neworder)
   if (length(after))
diff --git a/inst/tests/tests.Rraw b/inst/tests/tests.Rraw
index 92db5262c..96e85e14a 100644
--- a/inst/tests/tests.Rraw
+++ b/inst/tests/tests.Rraw
@@ -1604,6 +1604,18 @@ test(498.03, setcolorder(DT, 1, after=3), data.table(b=2, c=3, a=1))
 test(498.04, setcolorder(DT, 3, before=1), data.table(a=1, b=2, c=3))
 test(498.05, setcolorder(DT, 1, before=1, after=1), error="Provide either before= or after= but not both")
 test(498.06, setcolorder(DT, 1, before=1:2), error="before=/after= accept a single column name or number, not more than one")
+# skip_absent, #6044
+test(498.07, setcolorder(DT, skip_absent='TRUE'), error='TRUE or FALSE')
+test(498.08, setcolorder(DT, skip_absent=1), error='TRUE or FALSE')
+test(498.09, setcolorder(DT, skip_absent=c(TRUE, FALSE)), error='TRUE or FALSE')
+test(498.10, setcolorder(DT, c('d', 'c', 'b', 'a')), error='non-existing column')
+test(498.11, setcolorder(DT, c('d', 'c', 'b', 'a'), skip_absent=TRUE), data.table(c=3, b=2, a=1))
+test(498.12, setcolorder(DT, 4:1), error='non-existing column')
+test(498.13, setcolorder(DT, 4:1, skip_absent=TRUE), data.table(a=1, b=2, c=3))
+test(498.14, setcolorder(DT, c(1, 1, 2, 3), skip_absent=TRUE), error='!=')
+## `c` is not dropped
+test(498.15, setcolorder(DT, neworder='b', skip_absent=TRUE), data.table(b=2, a=1, c=3))
+test(498.16, setcolorder(DT, neworder=c('a', 'b', 'd'), skip_absent=TRUE), data.table(a=1, b=2, c=3))
 
 # test first group listens to nomatch when j uses join inherited scope.
 x <- data.table(x=c(1,3,8),x1=10:12, key="x")
diff --git a/man/setcolorder.Rd b/man/setcolorder.Rd
index e11a24d79..010ea9bb5 100644
--- a/man/setcolorder.Rd
+++ b/man/setcolorder.Rd
@@ -9,12 +9,13 @@
 }
 
 \usage{
-setcolorder(x, neworder=key(x), before=NULL, after=NULL)
+setcolorder(x, neworder=key(x), before=NULL, after=NULL, skip_absent=FALSE)
 }
 \arguments{
   \item{x}{ A \code{data.table}. }
   \item{neworder}{ Character vector of the new column name ordering. May also be column numbers. If \code{length(neworder) < length(x)}, the specified columns are moved in order to the "front" of \code{x}. By default, \code{setcolorder} without a specified \code{neworder} moves the key columns in order to the "front" of \code{x}. }
   \item{before, after}{ If one of them (not both) was provided with a column name or number, \code{neworder} will be inserted before or after that column. }
+  \item{skip_absent}{ Logical, default \code{FALSE}. If \code{neworder} includes columns not present in \code{x}, \code{TRUE} will silently ignore them, whereas \code{FALSE} will throw an error. }
 }
 \details{
   To reorder \code{data.table} columns, the idiomatic way is to use \code{setcolorder(x, neworder)}, instead of doing \code{x <- x[, ..neworder]} (or \code{x <- x[, neworder, with=FALSE]}). This is because the latter makes an entire copy of the \code{data.table}, which maybe unnecessary in most situations. \code{setcolorder} also allows column numbers instead of names for \code{neworder} argument, although we recommend using names as a good programming practice.